library.bib

%RU

@Article{convossen,
AUTHOR = {Cohn-Vossen, S.},
TITLE = {Totalkrümmung und geodätische Linien auf einfachzusammenhängenden offenen vollständigen Flächenstücken},
Journal = {Матем. сб.},
YEAR = {1936},
Volume = {1(43)},
Number ={2},
pages={139--164},
language={russian},
hyphenation={german}}

@article {alexandrov1941,
    AUTHOR = {Александров, А. Д.},
     TITLE = {Внутренняя геометрия произвольной выпуклой поверхности},
   JOURNAL = {Доклады Академии наук СССР},
    VOLUME = {32},
    Number ={7},
      YEAR = {1941},
     PAGES = {467--470},
   MRCLASS = {53.0X},
  MRNUMBER = {0009146},
MRREVIEWER = {A. B. Brown},
language={russian},
hyphenation={russian}
}

@Article{buyalo,
    Author = {С. В. Буяло},
    Title = {Объём и фундаментальная группа многообразия неположительной кривизны},
    Journal = {Матем. сб.},
    ISSN = {0025-5734},
    Volume = {122(164)},
    Number ={2(10)},
    Pages = {142–156},
    Year = {1982},
language={russian},
hyphenation={russian},
addendum={[English translation: S. V. Buyalo, “Volume and fundamental group of a manifold of nonpositive curvature”, \emph{Math. USSR-Sb.}, 50:1 (1985), 137--150]}
}

@book{alexandrov1948,
AUTHOR = {Александров, А. Д.},
TITLE = {Внутренняя геометрия выпуклых поверхностей},
%PUBLISHER = {ОГИЗ, М.-Л.},
YEAR = {1948},
%pagetotal = {387},
MRCLASS = {52.0X},
language={russian},
hyphenation={russian}
}

@InCollection{streltsov-alexandrov,
Author ={Александров, А. Д. and Стрельцов, В. В.},
TITLE = {Изопериметрическая задача и оценки длины кривой на поверхности},
BookTitle ={Двумерные многообразия ограниченной кривизны. Часть~II. Сборник статей по внутренней геометрии поверхностей},
Serial ={Тр. МИАН СССР},
YEAR = {1965},
pages={67--80},
%Publisher ={Наука},
location={М.--Л.},
language={russian},
hyphenation={russian}
}

@Article{bernshtein,
Author = {Bernstein, S.},
Title = {Sur un th\'{e}or\'{e}me de g\'{e}om\'{e}trie et son application aux \'{e}quations aux d\'{e}riv\'{e}es partielles du type elliptique.},
Journal ={Сообщения Харьковского математического общества},
Year = {1915},
Volume = {15},
Number ={1},
pages={38---45},
addendum={[Russian translation in «Успехах математических наук», вып. VIII (1941), 75---81
и в С. Н. Бернштейн, Собрание сочинений. Т. 3. (1960) с. 251---258;
German translation in Math. Ztschr., 26 (1927), 551--558.]},
language={russian},
hyphenation={russian}
}

@article {kanel-belov,
    AUTHOR = {А.~Я.~Канель-Белов (составитель)},
     TITLE = {Задачник},
   JOURNAL = {Матем. просв., третья серия},
    NUMBER = {24},
      YEAR = {2019},
     PAGES = {175--180},
language={russian},
hyphenation={russian}
}

@article {kovalev,
    AUTHOR = {Ковалёв, М. Д.},
     TITLE = {О покрытии выпуклы фигур их образами при растяжениях},
   JOURNAL = {Украинский геометрический сборник},
    NUMBER = {27},
      YEAR = {1984},
     PAGES = {57--68},
      ISSN = {0135-6992},
   MRCLASS = {52A10},
  MRNUMBER = {767419},
MRREVIEWER = {E. Hertel},
language={russian},
hyphenation={russian}
}


@Article{vinberg-strong,
Author = {Винберг, Э. Б.},
Title = {Отсутствие кристаллографических групп отражений в пространствах Лобачевского большой размерности},
Journal = {Функц. анализ и его прил.},
Year = {1981},
Volume = {15},
Number ={2},
pages={67---68},
language={russian},
hyphenation={russian}
}

@InCollection{vinberg,
Author = {Винберг, Э. Б.},
Title = {Дискретные группы отражений в~пространствах Лобачевского большой размерности},
BookTitle = {Модули и алгебраические группы.~2},
Serial = {Зап. научн. сем. ЛОМИ},
Year = {1983},
Vol={132},
pages={62--68},
%Publisher ={Наука},
%location={Л.},
language={russian},
hyphenation={russian}
}

@Article{efimov,
    Author = {Ефимов, Н. В.},
    Title = {Качественные вопросы теории деформаций поверхностей},
    FJournal = {Успехи Математических Наук, [Н. С.]},
    Journal = {УМН},
    ISSN = {0042-1316; 2305-2872/e},
    Volume = {3},
    Number = {2(24)},
    Pages = {47--158},
    Year = {1948},
   % Publisher = {Наука},
    location={М.},
    Language = {Russian},
    hyphenation={russian},
    MSC2010 = {53-XX},
    Zbl = {0030.06901}
}

@Article{liberman,
AUTHOR = {Либерман, И. М.},
     TITLE = {Геодезические линии на выпуклых поверхностях},
   JOURNAL = {ДАН СССР},
    VOLUME = {32},
      YEAR = {1941},
     PAGES = {310--313},
   MRCLASS = {52.0X},
  MRNUMBER = {0010994 (6,100g)},
language={russian},
hyphenation={russian}
}

@book {pogorelov,
    AUTHOR = {Погорелов, А.},
     TITLE = {Четвертая проблема Гильберта},
      YEAR = {1974},
addendum={[English translation: A. Pogorelov. \emph{Hilbert’s fourth problem.} 1979.]},
language={russian},
hyphenation={russian}
}

@Article{protasov,
AUTHOR = {Протасов, В. Ю.},
TITLE = {О числе замкнутых геодезических на~многограннике},
JOURNAL = {УМН},
YEAR = {2008},
VOLUME = {63},
number={5(383)},
pages ={197-198},
language={russian},
hyphenation={russian}
}


@article{usov,
  title={О длине сферического изображения геодезической на выпуклой поверхности.},
  author={Усов, В. В.},
  journal={Сибирский математический журнал},
  volume={17},
  number={1},
  pages={233-236},
  year={1976},
  %publisher={Издалельство АН СССР},
language={russian},
hyphenation={russian}
  }
  
@Article{liberman,
AUTHOR = {Либерман, И. М.},
     TITLE = {Геодезические линии на выпуклых поверхностях},
   JOURNAL = {ДАН СССР},
    VOLUME = {32},
      YEAR = {1941},
     PAGES = {310--313},
   MRCLASS = {52.0X},
  MRNUMBER = {0010994 (6,100g)},
language={russian},
hyphenation={russian}
}

@article {zalgaller-1971,
    AUTHOR = {Залгаллер, В. А.},
     TITLE = {О вмещении одной фигуры в другую},
   JOURNAL = {Украинский геометрический сборник},
    NUMBER = {10},
      YEAR = {1971},
     PAGES = {19--20},
   MRCLASS = {52A10},
  MRNUMBER = {0298545},
MRREVIEWER = {H. W. Guggenheimer},
}


@Article{zalgaller-shperical-polygon,
    Author = {Залгаллер, В. А.},
    Title = {О~деформациях многоугольника на сфере},
    FJournal = {Успехи Математических Наук},
    Journal = {УМН},
    ISSN = {0042-1316; 2305-2872/e},
    Volume = {11},
    Number = {5(71)},
    Pages = {177--178},
    Year = {1956},
    %Publisher = {Наука},
    location={М.},
    Language = {Russian},
    hyphenation={russian}
}

@article {zalgaller-polyhedra,
    AUTHOR = {Залгаллер, В. А.},
     TITLE = {Изометричекие вложения полиэдров},
   JOURNAL = {Доклады АН СССР},
  FJOURNAL = {Доклады Академии Наук СССР},
    VOLUME = {123},
      YEAR = {1958},
     PAGES = {599--601},
      ISSN = {0002-3264},
   MRCLASS = {53.00 (50.00)},
  MRNUMBER = {0103511 (21 \#2279)},
  Language = {Russian},
    hyphenation={russian}
} 

@article {pestov-ionin,
    AUTHOR = {Пестов, Г. and Ионин, В.},
     TITLE = {О наибольшем круге, вложенном в замкнутую кривую},
   JOURNAL = {Докл. АН СССР},
  FJOURNAL = {Доклады Академии Наук СССР},
    VOLUME = {127},
      YEAR = {1959},
     PAGES = {1170--1172},
      ISSN = {0002-3264},
language={russian},
hyphenation={russian}
}

@article {lagunov-2,
    AUTHOR = {Лагунов, В. Н.},
     TITLE = {О наибольшем шаре, вложенном в замкнутую поверхность, II},
   JOURNAL = {Сибирский математический журнал},
   volume={2},
  number={6},
      YEAR = {1961},
     PAGES = {874--883},
language={russian},
hyphenation={russian}
}
 
@article {lagunov-fet-1,
    AUTHOR = {Лагунов, В. Н. and Фет, А. И.},
     TITLE = {Экстремальные задачи для поверхностей заданного топологического типа {I}},
   JOURNAL = {Сибирский математический журнал},
    VOLUME = {4},
      YEAR = {1963},
     PAGES = {145––176},
    Language = {Russian},
    hyphenation={russian},
    addendum={[Partially translated by Richard L. Bishop: V. N. Lagunov, A. I. Fet, \emph{Extremal problems for surfaces of prescribed topological type (1)}
arXiv:\texttt{1903.01224 [math.DG].}]}
}

@article {lagunov-fet-2,
    AUTHOR = {Лагунов, В. Н. and Фет, А. И.},
     TITLE = {
              Экстремальные задачи для поверхностей заданного топологического типа {II}},
   JOURNAL = {Сибирский математический журнал},
    VOLUME = {6},
      YEAR = {1965},
     PAGES = {1026--1036},
      ISSN = {0037-4474},
   MRCLASS = {53.75},
  MRNUMBER = {0198397},
MRREVIEWER = {A. V. Pogorelov},
    Language = {Russian},
    hyphenation={russian},
}

@article{mikhailova,
    AUTHOR = {Михайлова, М. А.},
     TITLE = {О~факторпространстве по действию конечной группы, порожденной псевдоотражениями},
   JOURNAL = {Изв. АН СССР. Сер. матем.},
  FJOURNAL = {Известия Алкадемии Наук СССР Серия Математическая},
    VOLUME = {48},
      YEAR = {1984},
    NUMBER = {1},
     PAGES = {104--126},
      ISSN = {0373-2436},
   MRCLASS = {20F99 (20H15)},
  MRNUMBER = {733360 (85k:20127)},
 language={russian},
hyphenation={russian}
}


@article {milka-poly,
    AUTHOR = {Милка, А. Д.},
     TITLE = {Многомерные пространства с многогранной метрикой неотрицательной кривизны I},
JOURNAL = {Украинский геометрический сборник},
    VOLUME = {5--6},
      YEAR = {1968},
     PAGES = {103--114},
   MRCLASS = {53.95},
language={russian},
hyphenation={russian}
}

@article {milka-geod,
    AUTHOR = {Милка, А. Д.},
     TITLE = {Геодезические и кратчайшие на выпуклых гиперповерхностях I},
   JOURNAL = {Украинский геометрический сборник},
       NUMBER = {25},
      YEAR = {1982},
     PAGES = {95--110},
      ISSN = {0135-6992},
   MRCLASS = {53C22 (53C45)},
language={russian},
hyphenation={russian}
}

@article{nazarov-petrov,
  title={О гипотезе С. Л. Табачникова},
  author={Назаров, А. И. and Петров, Ф. В.},
  journal={Алгебра и анализ},
  volume={19},
  number={1},
  pages={177--193},
  year={2007},
 % publisher={Российская академия наук, Отделение математических наук},
language={russian},
hyphenation={russian},
addendum={[English translation: A. I. Nazarov and F. V. Petrov ``On Tabachnikov's conjecture''. \emph{St. Petersburg Mathematical Journal,} 19.1 (2008), 125--135.]}
}


@Article{toponogov,
  title={Оценка длины замкнутой геодезической на выпуклой поверхности},
  author={Топоногов, В. А.},
  Journal ={Докл. АН СССР},
  volume={124},
  number={2},
  pages={282--284},
  year={1959},
  ISSN = {0002-3264},
  language={russian},
hyphenation={russian}
}

@article {shefel,
    AUTHOR = {Шефель, С. З.},
     TITLE = {О внутренней геометрии седловых поверхностей},
   JOURNAL = {Сибирский метематический журнал},
    VOLUME = {5},
      YEAR = {1964},
     PAGES = {1382--1396},
      ISSN = {0037-4474},
      language={russian},
hyphenation={russian}
}

%EN-BOOKS



@book {cheeger-ebin,
    AUTHOR = {Cheeger, J. and Ebin, D. G.},
     TITLE = {Comparison theorems in {R}iemannian geometry},
      %NOTE = {Revised reprint of the 1975 original},
 %PUBLISHER = {AMS Chelsea Publishing, Providence, RI},
      YEAR = {2008},
     %PAGES = {x+168},
      ISBN = {978-0-8218-4417-5},
   MRCLASS = {53C20},
  MRNUMBER = {2394158},
}


@book {fuchs-tabachnikov,
    AUTHOR = {Fuchs, D. and Tabachnikov, S.},
     TITLE = {Mathematical omnibus},
    %  NOTE = {Thirty lectures on classic mathematics},
 %PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2007},
     %PAGES = {xvi+463},
      ISBN = {978-0-8218-4316-1},
   MRCLASS = {00A05 (00A08 51-02)},
  MRNUMBER = {2350979},
MRREVIEWER = {Rade {\v{Z}}ivaljevi{\'c}},
       DOI = {10.1090/mbk/046},
       URL = {http://dx.doi.org/10.1090/mbk/046},
addendum={[Translated to Russian, German, and Japanese.]}
}

Polynomial Methods in Combinatorics
cover
Larry Guth

Series: University Lecture Series, Volume 64

Publisher: American Mathematical Society, Year: 2016


@book {guth2016,
    AUTHOR = {Guth, L.},
     TITLE = {Polynomial methods in combinatorics},
    SERIES = {University Lecture Series},
    VOLUME = {64},
 %PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2016},
    % PAGES = {ix+273},
      ISBN = {978-1-4704-2890-7},
   MRCLASS = {05-01 (11B75 13F20 14N10 52C10 94B25)},
  MRNUMBER = {3495952},
MRREVIEWER = {B\'{e}la Uhrin},
       DOI = {10.1090/ulect/064},
       URL = {https://doi.org/10.1090/ulect/064},
}

@book {gruenbaum,
    AUTHOR = {Grünbaum, B.},
     TITLE = {Convex polytopes},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {221},
  % EDITION = {Second},
     % NOTE = {Prepared and with a preface by Volker Kaibel, Victor Klee and Günter M. Ziegler},
 %PUBLISHER = {Springer-Verlag, New York},
      YEAR = {2003},
     %PAGES = {xvi+468},
      ISBN = {0-387-00424-6; 0-387-40409-0},
   MRCLASS = {52-01 (52Bxx)},
  MRNUMBER = {1976856},
MRREVIEWER = {Alexander Zvonkin},
       DOI = {10.1007/978-1-4613-0019-9},
       URL = {https://doi.org/10.1007/978-1-4613-0019-9},
}

@book {hilbert-cohn-vossen,
    AUTHOR = {Hilbert, D. and Cohn-Vossen, S.},
     TITLE = {Geometry and the imagination},
     % NOTE = {Translated by P. Neményi},
 %PUBLISHER = {Chelsea Publishing Company, New York, N. Y.},
      YEAR = {1952},
     %PAGES = {ix+357},
   MRCLASS = {48.0X},
  MRNUMBER = {0046650},
}

@book {ledoux,
    AUTHOR = {Ledoux, M.},
     TITLE = {The concentration of measure phenomenon},
    SERIES = {Mathematical Surveys and Monographs},
    VOLUME = {89},
 %PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2001},
     %PAGES = {x+181},
      ISBN = {0-8218-2864-9},
   MRCLASS = {28C15 (28A35 46B09 60E15 82B44)},
  MRNUMBER = {1849347},
MRREVIEWER = {Werner Linde},
}

@book{petrunin-zamora,
      title={What is differential geometry: curves and surfaces}, 
      author={A. Petrunin and S. Zamora Barrera},
      year={2021},
      eprint={2012.11814},
      archivePrefix={arXiv},
      primaryClass={math.HO}
}

@book {toponogov-curves-and-surfaces,
    AUTHOR = {Toponogov, V. A.},
     TITLE = {Differential geometry of curves and surfaces},
    %  NOTE = {A concise guide, With the editorial assistance of Vladimir Y. Rovenski},
% PUBLISHER = {Birkhäuser Boston, Inc., Boston, MA},
      YEAR = {2006},
     %PAGES = {xiv+206},
   MRCLASS = {53-01 (53A04 53A05 53C45)},
  MRNUMBER = {2208981},
MRREVIEWER = {Wolfgang Kühnel},
}


%EN

@article {akopyan-hubard-karasev,
    AUTHOR = {Akopyan, A. and Hubard, A. and Karasev, R.},
     TITLE = {Lower and upper bounds for the waists of different spaces},
   JOURNAL = {Topol. Methods Nonlinear Anal.},
  FJOURNAL = {Topological Methods in Nonlinear Analysis},
    VOLUME = {53},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {457--490},
      ISSN = {1230-3429},
   MRCLASS = {49Q20 (53C23)},
  MRNUMBER = {3983982},
MRREVIEWER = {Andrew Bucki},
       DOI = {10.12775/tmna.2019.008},
       URL = {https://doi.org/10.12775/tmna.2019.008},
}

@article {rox,
     TITLE = {Geometric group theory, hyperbolic dynamics and symplectic
              geometry},
      NOTE = {Abstracts from the workshop held July 15--21, 2012},
   JOURNAL = {Oberwolfach Rep.},
  FJOURNAL = {Oberwolfach Reports},
    VOLUME = {9},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {2139--2203},
      ISSN = {1660-8933},
   MRCLASS = {20-06 (22-06 37A25 37J10 37J15 53Cxx)},
  MRNUMBER = {3156727},
       DOI = {10.4171/OWR/2012/35},
       URL = {http://dx.doi.org/10.4171/OWR/2012/35},
}

@Article{abresch-gromoll,
    Author = {U. {Abresch} and D. {Gromoll}},
    Title = {{On complete manifolds with nonnegative Ricci curvature.}},
    FJournal = {{Journal of the American Mathematical Society}},
    Journal = {{J. Am. Math. Soc.}},
    ISSN = {0894-0347; 1088-6834/e},
    Volume = {3},
    Number = {2},
    Pages = {355--374},
    Year = {1990},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/1990957},
    MSC2010 = {53C20},
    Zbl = {0704.53032}
}

@article {adiprasito,
    AUTHOR = {Adiprasito, Karim},
     TITLE = {A note on the simplex-cosimplex problem},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {66},
      YEAR = {2017},
     PAGES = {5--12},
      ISSN = {0195-6698},
   MRCLASS = {57Q15 (52B05)},
  MRNUMBER = {3692132},
MRREVIEWER = {Vladimir N. Gruji\'{c}},
       DOI = {10.1016/j.ejc.2017.06.009},
       URL = {https://doi.org/10.1016/j.ejc.2017.06.009},
}

@article {akopyan-petrunin,
    AUTHOR = {Akopyan, A. and Petrunin, A.},
     TITLE = {Long geodesics on convex surfaces},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {40},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {26--31},
      ISSN = {0343-6993},
   MRCLASS = {53C22 (53C45)},
  MRNUMBER = {3851070},
       DOI = {10.1007/s00283-018-9795-5},
       URL = {https://doi.org/10.1007/s00283-018-9795-5},
}

@Article{akopyan-tarasov,
    Author = {A. {Akopyan} and A. {Tarasov}},
    Title = {{A constructive proof of Kirszbraun's theorem.}},
    FJournal = {{Mathematical Notes}},
    Journal = {{Math. Notes}},
    ISSN = {0001-4346; 1573-8876/e},
    Volume = {84},
    Number = {5},
    Pages = {725--728},
    Year = {2008},
   % Publisher = {Springer US, New York, NY; Pleiades Interperiodica'', Moscow},
    Language = {English},
    DOI = {10.1134/S000143460811014X},
    MSC2010 = {47H09 52A35 51M20 52B99 57Q99},
    Zbl = {1221.47091}
}

@Article{alexander-osserman,
    Author = {H. {Alexander} and R. {Osserman}},
    Title = {{Area bounds for various classes of surfaces.}},
    FJournal = {{American Journal of Mathematics}},
    Journal = {{Am. J. Math.}},
    ISSN = {0002-9327; 1080-6377/e},
    Volume = {97},
    Pages = {753--769},
    Year = {1975},
    %Publisher = {Johns Hopkins University Press, Baltimore, MD},
    Language = {English},
    DOI = {10.2307/2373775},
    MSC2010 = {53B25 49Q05 49Q20 52A40 53A05 53A10 32Q99},
    Zbl = {0326.53030}
}

@incollection{alexander-hoffman-osserman,
    AUTHOR = {Alexander, H. and Hoffman, D. and Osserman, R.},
     TITLE = {Area estimates for submanifolds of {E}uclidean space},
 BOOKTITLE = {Symposia {M}athematica, {V}ol. {XIV}},
     PAGES = {445--455},
 %PUBLISHER = {Academic Press, London},
      YEAR = {1974},
   MRCLASS = {53A10},
  MRNUMBER = {0388253 (52 \#9090)},
MRREVIEWER = {Robert Gulliver},
}

@Article{ralexander,
    Author = {R. {Alexander}},
    Title = {{Lipschitzian mappings and total mean curvature of polyhedral surfaces. I.}},
    FJournal = {{Transactions of the American Mathematical Society}},
    Journal = {{Trans. Am. Math. Soc.}},
    ISSN = {0002-9947; 1088-6850/e},
    Volume = {288},
    Pages = {661--678},
    Year = {1985},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/1999957},
    MSC2010 = {52A22 53C65},
    Zbl = {0563.52008}
}

@Article{alexander,
    Author = {S. {Alexander}},
    Title = {{Locally convex hypersurfaces of negatively curved spaces.}},
    FJournal = {{Proceedings of the American Mathematical Society}},
    Journal = {{Proc. Am. Math. Soc.}},
    ISSN = {0002-9939; 1088-6826/e},
    Volume = {64},
    Pages = {321--325},
    Year = {1977},
    %Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/2041451},
    MSC2010 = {53C40 53C20},
    Zbl = {0398.53028}
}

@article {alexander-bishop:knot,
    AUTHOR = {Alexander, S. and Bishop, R.},
     TITLE = {The {F}ary--{M}ilnor theorem in {H}adamard manifolds},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {126},
      YEAR = {1998},
    NUMBER = {11},
     PAGES = {3427--3436},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {53C22 (53C40 57M25)},
  MRNUMBER = {1459103},
MRREVIEWER = {Wolfgang Kühnel},
       DOI = {10.1090/S0002-9939-98-04423-2},
       URL = {http://dx.doi.org/10.1090/S0002-9939-98-04423-2},
}

@article {alexander-bishop,
    AUTHOR = {Alexander, S. and Bishop, R.},
     TITLE = {Thin Riemannian manifolds with boundary},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {311},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {55--70},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {53C20},
  MRNUMBER = {1624263},
MRREVIEWER = {Zhongmin Shen},
       DOI = {10.1007/s002080050176},
       URL = {http://dx.doi.org/10.1007/s002080050176},
}


@Article{ABB,
    Author = {S. {Alexander} and D. {Berg} and R. {Bishop}},
    Title = {{Geometric curvature bounds in Riemannian manifolds with boundary.}},
    FJournal = {{Transactions of the American Mathematical Society}},
    Journal = {{Trans. Am. Math. Soc.}},
    ISSN = {0002-9947; 1088-6850/e},
    Volume = {339},
    Number = {2},
    Pages = {703--716},
    Year = {1993},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/2154294},
    MSC2010 = {53C20 53C45 53C65},
    Zbl = {0793.53039}
}

@Article{alexandrov-finite,
    Author = {P. {Alexandroff}},
    Title = {{Diskrete Räume.}},
    FJournal = {{Математический сборник. Новая серия}},
    Journal = {Матем. сб.},
    Volume = {2},
    Pages = {501--519},
    Year = {1937},
    language={german},
   hyphenation={german}
}

@Article{almgren,
    Author = {F. {Almgren}},
    Title = {{Optimal isoperimetric inequalities.}},
    FJournal = {{Indiana University Mathematics Journal}},
    Journal = {{Indiana Univ. Math. J.}},
    ISSN = {0022-2518},
    Volume = {35},
    Pages = {451--547},
    Year = {1986},
   % Publisher = {Indiana University, Department of Mathematics, Bloomington, IN},
    Language = {English},
    DOI = {10.1512/iumj.1986.35.35028},
    MSC2010 = {49Q15 49Q05 53A10 28A75 58A25},
    Zbl = {0585.49030}
}

@Article{aloff-wallach,
    Author = {S. {Aloff} and N. {Wallach}},
    Title = {{An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures.}},
    FJournal = {{Bulletin of the American Mathematical Society}},
    Journal = {{Bull. Am. Math. Soc.}},
    ISSN = {0002-9904; 1936-881X/e},
    Volume = {81},
    Pages = {93--97},
    Year = {1975},
    %Publisher = {American Mathematical Society, Providence, RI},
    Language = {English},
    DOI = {10.1090/S0002-9904-1975-13649-4},
    MSC2010 = {53C20},
    Zbl = {0362.53033}
}

@article {ambrose,
    AUTHOR = {Ambrose, W.},
     TITLE = {Parallel translation of {R}iemannian curvature},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {64},
      YEAR = {1956},
     PAGES = {337--363},
      ISSN = {0003-486X},
   MRCLASS = {53.00},
  MRNUMBER = {102841},
MRREVIEWER = {I. Z. Rozenknop},
       DOI = {10.2307/1969978},
       URL = {https://doi.org/10.2307/1969978},
}

@article {andersson-howard,
    AUTHOR = {Andersson, L. and Howard, R.},
     TITLE = {Comparison and rigidity theorems in semi-{R}iemannian
              geometry},
   JOURNAL = {Comm. Anal. Geom.},
  FJOURNAL = {Communications in Analysis and Geometry},
    VOLUME = {6},
      YEAR = {1998},
    NUMBER = {4},
     PAGES = {819--877},
      ISSN = {1019-8385},
   MRCLASS = {53C24 (53C50)},
  MRNUMBER = {1664893},
MRREVIEWER = {Miguel S\'{a}nchez},
       DOI = {10.4310/CAG.1998.v6.n4.a8},
       URL = {https://doi.org/10.4310/CAG.1998.v6.n4.a8},
}

@Article{andrews,
    Author = {B. {Andrews}},
    Title = {{Contraction of convex hypersurfaces in Riemannian spaces.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {39},
    Number = {2},
    Pages = {407--431},
    Year = {1994},
    %Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C40 37C10},
    Zbl = {0797.53044}
}

@article{antoine,
   author={Antoine, L.},
   title={Sur l'homeomorphisme de deux figures et leurs voisinages},
   journal={J. Math. Pures Appl.},
   volume={4},
   date={1921},
   pages={221--325}
}

@article {arnold,
    AUTHOR = {Arnold, V. I.},
     TITLE = {Topological problems in the theory of asymptotic curves},
   JOURNAL = {Proc. Steklov Inst. Math.},
      YEAR = {1999},
     PAGES = {5--15},
}

@article{athreya-aulicino,
  title={Vertex-to-Self Trajectories on the Platonic Solids},
  author={Athreya, J. S and Aulicino, D.},
  year={2020},
  publisher={Mathematisches Forschungsinstitut Oberwolfach}
}


@Article{balacheff-croke-katz,
    Author = {F. {Balacheff} and C. {Croke} and M. {Katz}},
    Title = {{A Zoll counterexample to a geodesic length conjecture.}},
    FJournal = {{Geometric and Functional Analysis. GAFA}},
    Journal = {{Geom. Funct. Anal.}},
    ISSN = {1016-443X; 1420-8970/e},
    Volume = {19},
    Number = {1},
    Pages = {1--10},
    Year = {2009},
    %Publisher = {Springer (Birkhäuser), Basel},
    Language = {English},
    DOI = {10.1007/s00039-009-0708-9},
    MSC2010 = {53C23 53C22},
    Zbl = {1201.53050}
}

@Article{bangert,
    Author = {V. {Bangert}},
    Title = {{Geodesics and totally convex sets on surfaces.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {63},
    Pages = {507--517},
    Year = {1981},
    %Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF01389067},
    MSC2010 = {53C22 37D40 53D25},
    Zbl = {0443.53034}
}

@article {bangert1990,
    AUTHOR = {Bangert, V.},
     TITLE = {Minimal geodesics},
   JOURNAL = {Ergodic Theory Dynam. Systems},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
    VOLUME = {10},
      YEAR = {1990},
    NUMBER = {2},
     PAGES = {263--286},
      ISSN = {0143-3857},
   MRCLASS = {58F17 (53C22)},
  MRNUMBER = {1062758},
MRREVIEWER = {Nicola\u{\i} T. A. Haydn},
       DOI = {10.1017/S014338570000554X},
       URL = {https://doi.org/10.1017/S014338570000554X},
}


@Article{bazajkin,
    Author = {Ya. V. {Bazaikin}},
    Title = {On a family of $13$-dimensional closed Riemannian manifolds of
   positive curvature},
    journal={Siberian Math. J.},
      volume={37},
      date={1996},
      number={6},
      pages={1068--1085},
      issn={0037-4466}
}

@online{belk-connelly,
author={Belk, M. and Connelly, R.},
title={Making contractions continuous: a problem related to the Kneser--Poulsen conjecture},
url={https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.578.2319}
}

@Article{bennequin,
    Author = {D. {Bennequin}},
    Title = {{Exemples d'immersions du disque dans le plan qui ne sont pas projections de plongements dans l'espace.}},
    FJournal = {{Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Série A}},
    Journal = {{C. R. Acad. Sci., Paris, Sér. A}},
    ISSN = {0366-6034; 0302-8429},
    Volume = {281},
    Pages = {81--84},
    Year = {1975},
   % Publisher = {Gauthier-Villars, Paris},
    Language = {French},
    MSC2010 = {57N05 57N60 57R40 58D10},
    Zbl = {0307.57001}
}

@article{berg,
    Author = {I. D. {Berg}},
    Title = {{An estimate on the total curvature of a geodesic in Euclidean 3-space- with-boundary.}},
    FJournal = {{Geometriae Dedicata}},
    Journal = {{Geom. Dedicata}},
    ISSN = {0046-5755; 1572-9168/e},
    Volume = {13},
    Pages = {1--6},
    Year = {1982},
   % Publisher = {Springer Netherlands, Dordrecht},
    Language = {English},
    DOI = {10.1007/BF00149423},
    MSC2010 = {53C22 53C70},
    Zbl = {0493.53036}
}

@Article{besicovitch,
    Author = {Besicovitch, A.},
    Title = {{On two problems of Loewner.}},
    FJournal = {{Journal of the London Mathematical Society}},
    Journal = {{J. Lond. Math. Soc.}},
    ISSN = {0024-6107; 1469-7750/e},
    Volume = {27},
    Pages = {141--144},
    Year = {1952},
   % Publisher = {London Mathematical Society},
    Language = {English},
    DOI = {10.1112/jlms/s1-27.2.141},
    Zbl = {0046.05304}
}

@Article{bezdek-connelly,
    Author = {K. {Bezdek} and R. {Connelly}},
    Title = {{Pushing disks apart --- the Kneser--Poulsen conjecture in the plane.}},
    FJournal = {{Journal für die Reine und Angewandte Mathematik}},
    Journal = {{J. Reine Angew. Math.}},
    ISSN = {0075-4102; 1435-5345/e},
    Volume = {553},
    Pages = {221--236},
    Year = {2002},
   % Publisher = {De Gruyter, Berlin},
    Language = {English},
    DOI = {10.1515/crll.2002.101},
    MSC2010 = {52C15},
    Zbl = {1021.52012}
}


@incollection {bing,
    AUTHOR = {Bing, R. H.},
     TITLE = {Some aspects of the topology of 3-manifolds related to the
              {P}oincaré conjecture},
 BOOKTITLE = {Lectures on modern mathematics, {V}ol. {II}},
     PAGES = {93--128},
 %PUBLISHER = {Wiley, New York},
      YEAR = {1964},
   MRCLASS = {54.78},
  MRNUMBER = {0172254},
MRREVIEWER = {A. H. Wallace},
}

@article {bing-length-0,
    AUTHOR = {Bing, R. H.},
     TITLE = {A convex metric for a locally connected continuum},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {55},
      YEAR = {1949},
     PAGES = {812--819},
      ISSN = {0002-9904},
   MRCLASS = {56.0X},
  MRNUMBER = {0031712 (11,194d)},
MRREVIEWER = {W. W. S. Claytor},
}

@article {bing-length-1,
    AUTHOR = {Bing, R. H.},
     TITLE = {Partitioning continuous curves},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {58},
      YEAR = {1952},
     PAGES = {536--556},
      ISSN = {0002-9904},
   MRCLASS = {56.0X},
  MRNUMBER = {0049550 (14,192e)},
MRREVIEWER = {E. E. Moise},
}

@Article{birkhoff,
    Author = {G. D. {Birkhoff}},
    Title = {{Proof of Poincaré's geometric theorem.}},
    FJournal = {{Transactions of the American Mathematical Society}},
    Journal = {{Trans. Am. Math. Soc.}},
    ISSN = {0002-9947; 1088-6850/e},
    Volume = {14},
    Pages = {14--22},
    Year = {1913},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/1988766},
    Zbl = {44.0761.01}
}

@Article{bishop-oneill,
    Author = {R. {Bishop} and B. {O'Neill}},
    Title = {{Manifolds of negative curvature.}},
    FJournal = {{Transactions of the American Mathematical Society}},
    Journal = {{Trans. Am. Math. Soc.}},
    ISSN = {0002-9947; 1088-6850/e},
    Volume = {145},
    Pages = {1--49},
    Year = {1969},
    %Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/1995057},
    Zbl = {0191.52002}
}

@Article{bochner,
    Author = {S. {Bochner}},
    Title = {{Vector fields and Ricci curvature.}},
    FJournal = {{Bulletin of the American Mathematical Society}},
    Journal = {{Bull. Am. Math. Soc.}},
    ISSN = {0002-9904; 1936-881X/e},
    Volume = {52},
    Pages = {776--797},
    Year = {1946},
    %Publisher = {American Mathematical Society, Providence, RI},
    Language = {English},
    DOI = {10.1090/S0002-9904-1946-08647-4},
    Zbl = {0060.38301}
}

@Article{boehm-wilking,
    Author = {C. {Böhm} and B. {Wilking}},
    Title = {{Manifolds with positive curvature operators are space forms.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {167},
    Number = {3},
    Pages = {1079--1097},
    Year = {2008},
   % Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.4007/annals.2008.167.1079},
    MSC2010 = {53C44},
    Zbl = {1185.53073}
}

@article {boileau-porti,
    AUTHOR = {Boileau, M. and Porti, J.},
     TITLE = {Geometrization of 3-orbifolds of cyclic type},
      NOTE = {Appendix A by Michael Heusener and Porti},
   JOURNAL = {Ast\'{e}risque},
  FJOURNAL = {Ast\'{e}risque},
    NUMBER = {272},
      YEAR = {2001},
     PAGES = {208},
      ISSN = {0303-1179},
   MRCLASS = {57M50 (53C23 57M60 57N10)},
  MRNUMBER = {1844891},
MRREVIEWER = {Kevin P. Scannell},
}

@article{boroczky,
    Author = {Böröczky, K.},
    Title = {{Gömbkitölt\'{e}sek alland\'{o} görbületű terekben I.}},
    FJournal = {{Matematikai Lapok}},
    Journal = {{Mat. Lapok}},
    ISSN = {0025-519X},
    Volume = {25},
    Pages = {265--306},
    Year = {1977},
  %  Publisher = {Bolyai Janos Matematikai Tarsulat, Budapest},
    Language = {Hungarian},
    MSC2010 = {52C17 52A22},
    Zbl = {0394.52012}
}

@InCollection{bowditch,
    Author = {B. H. {Bowditch}},
    Title = {{Notes on locally CAT(1) spaces.}},
    BookTitle = {{Geometric group theory. Proceedings of a special research quarter at The Ohio State University, Columbus, OH, USA., spring 1992}},
    ISBN = {3-11-014743-2/hbk},
    Pages = {1--48},
    Year = {1995},
   % Publisher = {Berlin: de Gruyter},
    Language = {English},
    MSC2010 = {53C23 53C21},
    Zbl = {0865.53035}
}

@book {blaschke,
    AUTHOR = {Blaschke, W.},
     TITLE = {Kreis und {K}ugel},
% PUBLISHER = {Verlag von Veit \& Comp., Leipzig},
      YEAR = {1916},
language={german},
hyphenation={german},
addendum={[Russian translation: В. Бляшке, \emph{Круг и шар}, 1967.]}
}

@Article{brehm,
    Author = {U. {Brehm}},
    Title = {{Extensions of distance reducing mappings to piecewise congruent mappings on $\mathbb{R}^m$.}},
    FJournal = {{Journal of Geometry}},
    Journal = {{J. Geom.}},
    ISSN = {0047-2468; 1420-8997/e},
    Volume = {16},
    Pages = {187--193},
    Year = {1981},
  %  Publisher = {Springer (Birkhäuser), Basel},
    Language = {English},
    DOI = {10.1007/BF01917587},
    MSC2010 = {51M99 52A99},
    Zbl = {0467.51020}
}

@article {brende-hung,
   author={Brendle, S. and Hung, P. K.},
     TITLE = {Area bounds for minimal surfaces that pass through a prescribed point in a ball},
   JOURNAL = {Geom. Funct. Anal.},
  FJOURNAL = {Geometric and Functional Analysis},
    VOLUME = {27},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {235--239},
      ISSN = {1016-443X},
   MRCLASS = {49Q05 (53A10)},
  MRNUMBER = {3626612},
MRREVIEWER = {S\l awomir Kolasi\'{n}ski},
       DOI = {10.1007/s00039-017-0399-6},
       URL = {https://doi.org/10.1007/s00039-017-0399-6},
}

@Article{brendle-marques-neve,
    Author = {S. {Brendle} and F. {Marques} and A. {Neves}},
    Title = {{Deformations of the hemisphere that increase scalar curvature.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {185},
    Number = {1},
    Pages = {175--197},
    Year = {2011},
%    Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/s00222-010-0305-4},
    MSC2010 = {53C20},
    Zbl = {1227.53048}
}


@incollection {bukh-nivasch,
    AUTHOR = {Bukh, B. and Nivasch, G.},
     TITLE = {One-sided epsilon-approximants},
 BOOKTITLE = {A journey through discrete mathematics},
     PAGES = {343--356},
 %PUBLISHER = {Springer, Cham},
      YEAR = {2017},
   MRCLASS = {52C10 (05D15 52A35 52C17)},
  MRNUMBER = {3726603},
MRREVIEWER = {Jenő Lehel},
}


@incollection {buser-gromoll,
    AUTHOR = {Buser, P. and Gromoll, D.},
     TITLE = {On the almost negatively curved {$3$}-sphere},
 BOOKTITLE = {Geometry and analysis on manifolds ({K}atata/{K}yoto, 1987)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1339},
     PAGES = {78--85},
 %PUBLISHER = {Springer, Berlin},
      YEAR = {1988},
   MRCLASS = {53C20},
  MRNUMBER = {961474 (90a:53042)},
MRREVIEWER = {Steen Markvorsen},
       DOI = {10.1007/BFb0083048},
       URL = {http://dx.doi.org/10.1007/BFb0083048},
}

@book {buser-karcher,
    AUTHOR = {Buser, P. and Karcher, H.},
     TITLE = {Gromov's almost flat manifolds},
    SERIES = {Astérisque},
    VOLUME = {81},
% PUBLISHER = {Société Mathématique de France, Paris},
      YEAR = {1981},
     %PAGES = {148},
   MRCLASS = {53C30 (57R15)},
  MRNUMBER = {619537 (83m:53070)},
MRREVIEWER = {K. Grove},
}

@book{bbi,
    Author = {D. {Burago} and Yu. {Burago} and S. {Ivanov}},
    Title = {{A course in metric geometry.}},
    ISBN = {0-8218-2129-6/hbk},
    %pagetotal = {xiv + 415},
    Year = {2001},
   % Publisher = {Providence, RI: American Mathematical Society (AMS)},
    Language = {English},
    MSC2010 = {51K05 51-01},
    Zbl = {0981.51016},
   addendum={[Russian translation: Д. Ю. Бураго, Ю. Д. Бураго, С. В. Иванов. \emph{Курс метрической геометрии}, 2004.]}}
}

@book{burago-zalgaller,
    Author = {Yu. {Burago} and V. {Zalgaller}},
    Title = {{Geometric inequalities.}},
    ISBN = {3-540-13615-0},
    %pagetotal = {xiv + 331},
    Year = {1988},
  %  Publisher = {Berlin etc.: Springer-Verlag},
    Language = {English},
    MSC2010 = {53-02 52-02 52A40 53C20},
    Zbl = {0633.53002}
}

@book {kosniowski,
    AUTHOR = {Kosniowski, C.},
     TITLE = {A first course in algebraic topology},
% PUBLISHER = {Cambridge University Press, Cambridge-New York},
      YEAR = {1980},
     %PAGES = {viii+269},
   MRCLASS = {57-01 (55-01)},
  MRNUMBER = {586943},
MRREVIEWER = {Jo{\v{z}}e Vrabec},
addendum = {[Translated to Russian and Italian.]}
}

@article {akopyan-2012,
    AUTHOR = {Akopyan, A.},
     TITLE = {A short proof of the collapsing walls lemma},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {312},
      YEAR = {2012},
    NUMBER = {10},
     PAGES = {1650--1651},
      ISSN = {0012-365X},
   MRCLASS = {52B05},
  MRNUMBER = {2901160},
       DOI = {10.1016/j.disc.2012.02.011},
       URL = {https://doi.org/10.1016/j.disc.2012.02.011},
}

@article {berger,
    AUTHOR = {Berger, M.},
     TITLE = {Volume et rayon d'injectivit\'{e} dans les vari\'{e}t\'{e}s riemanniennes
              de dimension {$3$}},
   JOURNAL = {Osaka J. Math.},
  FJOURNAL = {Osaka Journal of Mathematics},
    VOLUME = {14},
      YEAR = {1977},
    NUMBER = {1},
     PAGES = {191--200},
      ISSN = {0030-6126},
   MRCLASS = {53C20},
  MRNUMBER = {0467595},
MRREVIEWER = {R. L. Bishop},
       URL = {http://projecteuclid.org/euclid.ojm/1200770220}
}

@article {besicovitch-sphere,
    AUTHOR = {Besicovitch, A.},
     TITLE = {A net to hold a sphere},
   JOURNAL = {Math. Gaz.},
  FJOURNAL = {The Mathematical Gazette},
    VOLUME = {41},
      YEAR = {1957},
     PAGES = {106--107},
      ISSN = {0025-5572},
   MRCLASS = {52.0X},
  MRNUMBER = {85556},
       DOI = {10.2307/3610587},
       URL = {https://doi.org/10.2307/3610587},
}


@article {burago-zalgaller:pl,
    AUTHOR = {Burago, Yu. D. and Zalgaller, V. A.},
     TITLE = {Isometric piecewise-linear embeddings of two-dimensional
              manifolds with a polyhedral metric into {$\mathbb{R}^3$}},
   JOURNAL = {St. Petersburg Math. J. },
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Algebra i Analiz},
    VOLUME = {7},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {369--385},
      ISSN = {0234-0852},
   MRCLASS = {53C45 (53C42)},
  MRNUMBER = {1353490 (96g:53091)},
MRREVIEWER = {Hillel Gauchman},
}

@incollection {BIP,
    AUTHOR = {Burago, D. and Ivanov, S. and Polterovich, L.},
     TITLE = {Conjugation-invariant norms on groups of geometric origin},
 BOOKTITLE = {Groups of diffeomorphisms},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {52},
     PAGES = {221--250},
 PUBLISHER = {Math. Soc. Japan, Tokyo},
      YEAR = {2008},
   MRCLASS = {20F65},
  MRNUMBER = {2509711},
MRREVIEWER = {Dmytro M. Savchuk},
       DOI = {10.2969/aspm/05210221},
       URL = {https://doi.org/10.2969/aspm/05210221},
}

@Article{BIS,
    Author = {D. {Burago} and S. {Ivanov} and D. {Shoenthal}},
    Title = {{Two counterexamples in low-dimensional length geometry.}},
    FJournal = {{St. Petersburg Mathematical Journal}},
    Journal = {{St. Petersbg. Math. J.}},
    ISSN = {1061-0022; 1547-7371/e},
    Volume = {19},
    Number = {1},
    Pages = {33--43},
    Year = {2008},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.1090/S1061-0022-07-00984-3},
    MSC2010 = {53C60 53C70},
    Zbl = {1144.53091}
}

@Article{burago-kleiner,
    Author = {D. {Burago} and B. {Kleiner}},
    Title = {{Rectifying separated nets.}},
    FJournal = {{Geometric and Functional Analysis. GAFA}},
    Journal = {{Geom. Funct. Anal.}},
    ISSN = {1016-443X; 1420-8970/e},
    Volume = {12},
    Number = {1},
    Pages = {80--92},
    Year = {2002},
   % Publisher = {Springer (Birkhäuser), Basel},
    Language = {English},
    DOI = {10.1007/s00039-002-8238-8},
    MSC2010 = {26B35 26B10 58C07},
    Zbl = {1165.26007}
}

@article {burns,
    AUTHOR = {Burns, R. G.},
     TITLE = {A note on free groups},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {23},
      YEAR = {1969},
     PAGES = {14--17},
      ISSN = {0002-9939},
   MRCLASS = {20.10},
  MRNUMBER = {252488},
MRREVIEWER = {D. Solitar},
       DOI = {10.2307/2037477},
       URL = {https://doi.org/10.2307/2037477},
}

@Article{calka,
    Author = {A. {Ca{\l}ka}},
    Title = {{On conditions under which isometries have bounded orbits.}},
    FJournal = {{Colloquium Mathematicum}},
    Journal = {{Colloq. Math.}},
    ISSN = {0010-1354; 1730-6302/e},
    Volume = {48},
    Pages = {219--227},
    Year = {1984},
  %  Publisher = {Polish Academy of Sciences (Polska Akademia Nauk - PAN), Institute of Mathematics (Instytut Matematyczny), Warsaw},
    Language = {English},
    MSC2010 = {54E40},
    Zbl = {0558.54021}
}

@article {calka:loc-isom,
    AUTHOR = {A. {Ca{\l}ka}},
     TITLE = {On local isometries of finitely compact metric spaces},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {103},
      YEAR = {1982},
    NUMBER = {2},
     PAGES = {337--345},
      ISSN = {0030-8730},
   MRCLASS = {54E40 (54E45)},
  MRNUMBER = {705234},
MRREVIEWER = {B. T. Sims},
       URL = {http://projecteuclid.org/euclid.pjm/1102723967},
}

@Article{cheeger,
    Author = {J. {Cheeger}},
    Title = {{Some examples of manifolds of nonnegative curvature.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {8},
    Pages = {623--628},
    Year = {1973},
   % Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C35 53C20},
    Zbl = {0281.53040}
}

@Article{cheeger-colding,
    Author = {J. {Cheeger} and T. {Colding}},
    Title = {{Lower bounds on Ricci curvature and the almost rigidity of warped products.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {144},
    Number = {1},
    Pages = {189--237},
    Year = {1996},
  %  Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/2118589},
    MSC2010 = {53C23 53C15 53C20},
    Zbl = {0865.53037}
}

@article {cheeger-colding-1,
    AUTHOR = {Cheeger, J. and Colding, T. H.},
     TITLE = {On the structure of spaces with {R}icci curvature bounded
              below. {I}},
   JOURNAL = {J. Differential Geom.},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {46},
      YEAR = {1997},
    NUMBER = {3},
     PAGES = {406--480},
      ISSN = {0022-040X},
   MRCLASS = {53C21 (53C20)},
  MRNUMBER = {1484888},
MRREVIEWER = {William P. Minicozzi, II},
       URL = {http://projecteuclid.org/euclid.jdg/1214459974},
}

@book {deza-laurent,
    AUTHOR = {Deza, M. and Laurent, M.},
     TITLE = {Geometry of cuts and metrics},
    SERIES = {Algorithms and Combinatorics},
    VOLUME = {15},
 %PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1997},
   %  PAGES = {xii+587},
      ISBN = {3-540-61611-X},
   MRCLASS = {52-02 (05B30 05C12 51K05 52B12 52C07 68R05 90C28)},
  MRNUMBER = {1460488},
MRREVIEWER = {Alexander I. Barvinok},
       DOI = {10.1007/978-3-642-04295-9},
       URL = {https://doi.org/10.1007/978-3-642-04295-9},
}

@article {wright,
    AUTHOR = {Wright, D.},
     TITLE = {Tychonoff's theorem},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {120},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {985--987}%,
%      ISSN = {0002-9939},
%   MRCLASS = {54D30 (54B10)},
%  MRNUMBER = {1170549},
%       DOI = {10.2307/2160497},
%       URL = {https://doi.org/10.2307/2160497},
}

@Article{croke-eigenvalue,
    Author = {C. {Croke}},
    Title = {{Some isoperimetric inequalities and eigenvalue estimates.}},
    FJournal = {{Annales Scientifiques de l'\'Ecole Normale Supérieure. Quatri\`eme Série}},
    Journal = {{Ann. Sci. \'Ec. Norm. Supér. (4)}},
    ISSN = {0012-9593},
    Volume = {13},
    Pages = {419--435},
    Year = {1980},
    %Publisher = {Société Mathématique de France (SMF) c/o Institut Henri Poincaré, Paris},
    Language = {English},
    MSC2010 = {53C20 53C22 52A40},
    Zbl = {0465.53032}
}

@Article{croke-4d,
    Author = {C. {Croke}},
    Title = {{A sharp four dimensional isoperimetric inequality.}},
    FJournal = {{Commentarii Mathematici Helvetici}},
    Journal = {{Comment. Math. Helv.}},
    ISSN = {0010-2571; 1420-8946/e},
    Volume = {59},
    Pages = {187--192},
    Year = {1984},
    %Publisher = {European Mathematical Society (EMS) Publishing House, Zurich},
    Language = {English},
    DOI = {10.1007/BF02566344},
    MSC2010 = {53C20},
    Zbl = {0552.53017}
}

@Article{croke-energy,
    Author = {C. {Croke}},
    Title = {{Lower bounds on the energy of maps.}},
    FJournal = {{Duke Mathematical Journal}},
    Journal = {{Duke Math. J.}},
    ISSN = {0012-7094; 1547-7398/e},
    Volume = {55},
    Pages = {901--908},
    Year = {1987},
    %Publisher = {Duke University Press, Durham, NC; University of North Carolina, Chapel Hill, NC},
    Language = {English},
    DOI = {10.1215/S0012-7094-87-05544-X},
    MSC2010 = {53C42 53C22},
    Zbl = {0634.53042}
}

@Article{croke,
    Author = {C. {Croke}},
    Title = {{Small volume on big $n$-spheres.}},
    FJournal = {{Proceedings of the American Mathematical Society}},
    Journal = {{Proc. Am. Math. Soc.}},
    ISSN = {0002-9939; 1088-6826/e},
    Volume = {136},
    Number = {2},
    Pages = {715--717},
    Year = {2008},
    %Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.1090/S0002-9939-07-09079-X},
    MSC2010 = {53C20 52A40},
    Zbl = {1130.53023}
}

@article {danzer-gruenbaum,
    AUTHOR = {Danzer, L. and Grünbaum, B.},
     TITLE = {Über zwei {P}robleme bezüglich konvexer {K}örper von
              {P}. {E}rd{\H o}s und von {V}. {L}. {K}lee},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {79},
      YEAR = {1962},
     PAGES = {95--99},
      ISSN = {0025-5874},
   MRCLASS = {52.30},
  MRNUMBER = {0138040 (25 \#1488)},
MRREVIEWER = {Victor Klee},
language={german},
hyphenation={german}
}

@incollection {danzer-grunbaum-klee,
    AUTHOR = {Danzer, L. and Grünbaum, B. and Klee, V.},
     TITLE = {Helly's theorem and its relatives},
 BOOKTITLE = {Proc. {S}ympos. {P}ure {M}ath., {V}ol. {VII}},
     PAGES = {101--180},
 %PUBLISHER = {Amer. Math. Soc., Providence, R.I.},
      YEAR = {1963},
   MRCLASS = {52.34}
}

@article {debrunner-mani-levitska,
    AUTHOR = {Debrunner, H. E. and Mani-Levitska, P.},
     TITLE = {Can you cover your shadows?},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {1},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {45--58},
      ISSN = {0179-5376},
   MRCLASS = {52A20},
  MRNUMBER = {824107},
MRREVIEWER = {P. McMullen},
       DOI = {10.1007/BF02187682},
       URL = {https://doi.org/10.1007/BF02187682},
}

@article {dunbar,
    AUTHOR = {Dunbar, W.},
     TITLE = {Geometric orbifolds},
   JOURNAL = {Rev. Mat. Univ. Complut. Madrid},
  FJOURNAL = {Revista Matem\'{a}tica de la Universidad Complutense de Madrid},
    VOLUME = {1},
      YEAR = {1988},
    NUMBER = {1-3},
     PAGES = {67--99},
      ISSN = {0214-3577},
   MRCLASS = {22E40 (57N10 57S30)},
  MRNUMBER = {977042},
}

@Article{edelstein-schwatz,
    Author = {M. {Edelstein} and B. {Schwarz}},
    Title = {{On the length of linked curves.}},
    FJournal = {{Israel Journal of Mathematics}},
    Journal = {{Isr. J. Math.}},
    ISSN = {0021-2172; 1565-8511/e},
    Volume = {23},
    Pages = {94--95},
    Year = {1976},
   % Publisher = {Springer, Berlin/Heidelberg; Hebrew University Magnes Press, Jerusalem},
    Language = {English},
    DOI = {10.1007/BF02757236},
    MSC2010 = {51M99 51M25},
    Zbl = {0318.50011}
}

@article {fuchs-2016,
    AUTHOR = {Fuchs, D.},
     TITLE = {Geodesics on regular polyhedra with endpoints at the vertices},
   JOURNAL = {Arnold Math. J.},
  FJOURNAL = {Arnold Mathematical Journal},
    VOLUME = {2},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {201--211},
      ISSN = {2199-6792},
   MRCLASS = {52B05 (53C22)},
  MRNUMBER = {3504350},
MRREVIEWER = {Athanase Papadopoulos},
       DOI = {10.1007/s40598-016-0040-z},
       URL = {https://doi.org/10.1007/s40598-016-0040-z},
}

@article {doyle,
    AUTHOR = {Doyle, P. H.},
     TITLE = {Plane separation},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {64},
      YEAR = {1968},
     PAGES = {291},
   MRCLASS = {54.75},
  MRNUMBER = {0224068},
MRREVIEWER = {B. J. Ball},
}

@article {eilenberg-harrold,
    AUTHOR = {S. {Eilenberg} and Jr., O. G. {Harrold} },
     TITLE = {Continua of finite linear measure. {I}},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {65},
      YEAR = {1943},
     PAGES = {137--146},
      ISSN = {0002-9327},
   MRCLASS = {56.0X},
  MRNUMBER = {0007643},
MRREVIEWER = {D. W. Hall},
       DOI = {10.2307/2371777},
       URL = {http://dx.doi.org/10.2307/2371777},
}



@Article{EWW,
    Author = {T. {Ekholm} and B. {White} and D. {Wienholtz}},
    Title = {{Embeddedness of minimal surfaces with total boundary curvature at most $4\pi$.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {155},
    Number = {1},
    Pages = {209--234},
    Year = {2002},
  %  Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/3062155},
    MSC2010 = {53A10},
    Zbl = {1017.53013}
}

@inproceedings {eppstein-mumford,
    AUTHOR = {Eppstein, D. and Mumford, E.},
     TITLE = {Self-overlapping curves revisited},
 BOOKTITLE = {Proceedings of the {T}wentieth {A}nnual {ACM}-{SIAM} {S}ymposium on {D}iscrete {A}lgorithms},
     PAGES = {160--169},
% PUBLISHER = {SIAM, Philadelphia, PA},
      YEAR = {2009},
   MRCLASS = {68U05 (54H99 57N05)},
  MRNUMBER = {2809316},
}

@article {erdos,
    AUTHOR = {Erdős, P.},
     TITLE = {Some unsolved problems},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {The Michigan Mathematical Journal},
    VOLUME = {4},
      YEAR = {1957},
     PAGES = {291--300},
      ISSN = {0026-2285},
   MRCLASS = {10.00 (41.00)},
  MRNUMBER = {0098702 (20 \#5157)},
MRREVIEWER = {S. Chowla},
}

@incollection {erdos-fueredi,
    AUTHOR = {Erdős, P. and Füredi, Z.},
     TITLE = {The greatest angle among {$n$} points in the {$d$}-dimensional
              {E}uclidean space},
 BOOKTITLE = {Combinatorial mathematics ({M}arseille-{L}uminy, 1981)},
    SERIES = {North-Holland Math. Stud.},
    VOLUME = {75},
     PAGES = {275--283},
% PUBLISHER = {North-Holland, Amsterdam},
      YEAR = {1983},
   MRCLASS = {52A37},
  MRNUMBER = {841305 (87g:52018)},
MRREVIEWER = {L. M. Kelly},
}

@Article{eschenburg-spaces,
    Author = {J.-H. {Eschenburg}},
    Title = {{New examples of manifolds with strictly positive curvature.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {66},
    Pages = {469--480},
    Year = {1982},
    %Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF01389224},
    MSC2010 = {53C20},
    Zbl = {0484.53031}
}

@Article{eschenburg,
    Author = {J.-H. {Eschenburg}},
    Title = {{Local convexity and nonnegative curvature --- Gromov's proof of the sphere theorem.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {84},
    Pages = {507--522},
    Year = {1986},
 %   Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF01388744},
    MSC2010 = {53C20},
    Zbl = {0594.53034}
}

@article {DDTY,
    AUTHOR = {Davis, D. and Dods, V. and Traub, C. and Yang, J.},
     TITLE = {Geodesics on the regular tetrahedron and the cube},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {340},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {3183--3196},
      ISSN = {0012-365X},
   MRCLASS = {52B10 (53C22)},
  MRNUMBER = {3557816},
MRREVIEWER = {Vasyl Gorkavyy},
       DOI = {10.1016/j.disc.2016.07.004},
       URL = {https://doi.org/10.1016/j.disc.2016.07.004},
}

@article {dore-hanlon,
    AUTHOR = {Dore, D. and Hanlon, A.},
     TITLE = {Area preserving maps on {$S^2$}: a lower bound on the
              {$C^0$}-norm using symplectic spectral invariants},
   JOURNAL = {Electron. Res. Announc. Math. Sci.},
  FJOURNAL = {Electronic Research Announcements in Mathematical Sciences},
    VOLUME = {20},
      YEAR = {2013},
     PAGES = {97--102},
      ISSN = {1935-9179},
   MRCLASS = {57R17 (53D22 57R50)},
  MRNUMBER = {3268419},
MRREVIEWER = {Michael J. Usher},
       DOI = {10.3934/era.2013.20.97},
       URL = {http://dx.doi.org/10.3934/era.2013.20.97},
}

@article{edelman-kostlan,
    AUTHOR = {Edelman, A. and Kostlan, E.},
     TITLE = {How many zeros of a random polynomial are real?},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {32},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {1--37},
      ISSN = {0273-0979},
   MRCLASS = {60G99 (30B20 42A05)},
  MRNUMBER = {1290398},
MRREVIEWER = {Kambiz Farahmand},
       DOI = {10.1090/S0273-0979-1995-00571-9},
       URL = {https://doi.org/10.1090/S0273-0979-1995-00571-9},
}

@book {falconer,
    AUTHOR = {Falconer, K. J.},
     TITLE = {The geometry of fractal sets},
    SERIES = {Cambridge Tracts in Mathematics},
    VOLUME = {85},
% PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1986},
     %PAGES = {xiv+162},
      %ISBN = {0-521-25694-1; 0-521-33705-4},
   MRCLASS = {28-02 (28A99 60J65)},
  MRNUMBER = {867284},
MRREVIEWER = {K. E. Hirst},
}

@Article{FMR,
    Author = {F. {Fang} and S. {Mendon\c ca} and X. {Rong}},
    Title = {{A connectedness principle in the geometry of positive curvature.}},
    FJournal = {{Communications in Analysis and Geometry}},
    Journal = {{Commun. Anal. Geom.}},
    ISSN = {1019-8385; 1944-9992/e},
    Volume = {13},
    Number = {4},
    Pages = {671--695},
    Year = {2005},
 %   Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    DOI = {10.4310/CAG.2005.v13.n4.a2},
    MSC2010 = {53C21},
    Zbl = {1131.53306}
}

@book {federer,
    AUTHOR = {Federer, H.},
     TITLE = {Geometric measure theory},
    SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 153},
% PUBLISHER = {Springer-Verlag New York Inc., New York},
      YEAR = {1969},
    % PAGES = {xiv+676},
   MRCLASS = {28.80 (26.00)},
  MRNUMBER = {0257325},
MRREVIEWER = {J. E. Brothers},
addendum={[Russian translation: Г. Федерер. \emph{Геометрическая теория меры.} 1987.]}
}

@article {fary-knot,
    AUTHOR = {Fáry, I.},
     TITLE = {Sur la courbure totale d'une courbe gauche faisant un n\oe ud},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Société Mathématique de France},
    VOLUME = {77},
      YEAR = {1949},
     PAGES = {128--138},
      ISSN = {0037-9484},
   MRCLASS = {53.0X},
  MRNUMBER = {0033118},
MRREVIEWER = {W. Fenchel},
Language = {French}
}

@Article{fary,
    Author = {Fáry, I.},
    Title = {Sur certaines inégalités géométriques},
    FJournal = {Acta Scientiarum Mathematicarum},
    Journal = {Acta Sci. Math.},
    ISSN = {0001-6969},
    Volume = {12},
    Pages = {117--124},
    Year = {1950},
 %   Publisher = {University of Szeged, Bolyai Institute, Szeged},
    Language = {French},
    Zbl = {0039.16801}
}

@Article{ferry-okun,
    Author = {S. {Ferry} and B. {Okun}},
    Title = {{Approximating topological metrics by Riemannian metrics.}},
    FJournal = {{Proceedings of the American Mathematical Society}},
    Journal = {{Proc. Am. Math. Soc.}},
    ISSN = {0002-9939; 1088-6826/e},
    Volume = {123},
    Number = {6},
    Pages = {1865--1872},
    Year = {1995},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/2161004},
    MSC2010 = {53C23 57N60 57R12},
    Zbl = {0828.53038}
}

@Article{foertsch-schroeder,
    Author = {T. {Foertsch} and V. {Schroeder}},
    Title = {{Minkowski versus Euclidean rank for products of metric spaces.}},
    FJournal = {{Advances in Geometry}},
    Journal = {{Adv. Geom.}},
    ISSN = {1615-715X; 1615-7168/e},
    Volume = {2},
    Number = {2},
    Pages = {123--131},
    Year = {2002},
   % Publisher = {De Gruyter, Berlin},
    Language = {English},
    DOI = {10.1515/advg.2002.002},
    MSC2010 = {53C50 53C45},
    Zbl = {0988.53033}
}

@Article{frankel-katz,
    Author = {S. {Frankel} and M. {Katz}},
    Title = {{The Morse landscape of a Riemannian disk.}},
    FJournal = {{Annales de l'Institut Fourier}},
    Journal = {{Ann. Inst. Fourier}},
    ISSN = {0373-0956; 1777-5310/e},
    Volume = {43},
    Number = {2},
    Pages = {503--507},
    Year = {1993},
   % Publisher = {Université Joseph Fourier, Grenoble; Association des Annales de l'Institut Fourier, Saint-Martin d'H\`eres},
    Language = {English},
    DOI = {10.5802/aif.1343},
    MSC2010 = {53C23 53C20 05C05},
    Zbl = {0780.53035}
}

@Article{frankel,
    Author = {T. {Frankel}},
    Title = {{On the fundamental group of a compact minimal submanifolds.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {83},
    Pages = {68--73},
    Year = {1966},
   % Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/1970471},
    Zbl = {0189.22401}
}

@Article{frechet,
    Author = {M. {Fréchet}},
    Title = {{Les ensembles abstraits et le calcul fonctionnel.}},
    FJournal = {{Rendiconti del Circolo Matematico di Palermo}},
    Journal = {{Rend. Circ. Mat. Palermo}},
    ISSN = {0009-725X; 1973-4409/e},
    Volume = {30},
    Pages = {1--26},
    Year = {1910},
   % Publisher = {Circolo Matematico, Palermo},
    Language = {French},
    DOI = {10.1007/BF03014860},
    Zbl = {41.0103.01}
}

@Article{galperin,
    Author = {G. {Galperin}},
    Title = {{Convex polyhedra without simple closed geodesics.}},
    FJournal = {{Regular and Chaotic Dynamics}},
    Journal = {{Regul. Chaotic Dyn.}},
    ISSN = {1560-3547; 1468-4845/e},
    Volume = {8},
    Number = {1},
    Pages = {45--58},
    Year = {2003},
  %  Publisher = {Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK ``Nauka/Interperiodica'', Moscow},
    Language = {English},
    DOI = {10.1070/RD2003v008n01ABEH000231},
    MSC2010 = {37E30 52B70 37D40 53D25},
    Zbl = {1023.37025}
}

@article{gerencser-harangi,
  title={Acute sets of exponentially optimal size},
  author={Gerencs{é}r, B. and Harangi, V.},
  journal={Discrete \& Computational Geometry},
  pages={1--6},
  year={2018},
 % publisher={Springer}
}

@article {goodman-goodman,
    AUTHOR = {Goodman, A. W. and Goodman, R. E.},
     TITLE = {A circle covering theorem},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {52},
      YEAR = {1945},
     PAGES = {494--498},
      ISSN = {0002-9890},
   MRCLASS = {48.0X},
  MRNUMBER = {0013513},
MRREVIEWER = {P. Erd{\H o}s},
}

@book{GKZ,
    AUTHOR = {Gelfand, I. M. and Kapranov, M. M. and Zelevinsky, A. V.},
     TITLE = {Discriminants, resultants and multidimensional determinants},
   % SERIES = {Modern Birkhäuser Classics},
     % NOTE = {Reprint of the 1994 edition},
% PUBLISHER = {Birkhäuser Boston, Inc., Boston, MA},
      YEAR = {2008},
     %pagetotal = {x+523},
      ISBN = {978-0-8176-4770-4},
   MRCLASS = {14N05 (13D25 14M25 15A15 52B20)},
  MRNUMBER = {2394437 (2009a:14065)},
}

@Article{ginzburg,
    Author = {V. {Ginzburg}},
    Title = {{On the existence and non-existence of closed trajectories for some Hamiltonian flows.}},
    FJournal = {{Mathematische Zeitschrift}},
    Journal = {{Math. Z.}},
    ISSN = {0025-5874; 1432-1823/e},
    Volume = {223},
    Number = {3},
    Pages = {397--409},
    Year = {1996},
   % Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/PL00004565},
    MSC2010 = {37J99 58E05 53C15 70H05 37C10},
    Zbl = {0862.58020}
}

@inproceedings {giroux,
    AUTHOR = {Giroux, E.},
     TITLE = {G\'{e}om\'{e}trie de contact: de la dimension trois vers les
              dimensions sup\'{e}rieures},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians, {V}ol. {II} ({B}eijing, 2002)},
     PAGES = {405--414},
 PUBLISHER = {Higher Ed. Press, Beijing},
      YEAR = {2002},
   MRCLASS = {53D35 (57M50 57R17)},
  MRNUMBER = {1957051},
MRREVIEWER = {Hansjörg Geiges},
}

@Article{greene-wu,
    Author = {R. E. {Greene} and H. {Wu}},
    Title = {{On the subharmonicity and plurisubharmonicity of geodesically convex functions.}},
    FJournal = {{Indiana University Mathematics Journal}},
    Journal = {{Indiana Univ. Math. J.}},
    ISSN = {0022-2518},
    Volume = {22},
    Pages = {641--653},
    Year = {1973},
   % Publisher = {Indiana University, Department of Mathematics, Bloomington, IN},
    Language = {English},
    DOI = {10.1512/iumj.1973.22.22052},
    MSC2010 = {53C20 53C55 31B05},
    Zbl = {0235.53039}
}

@article {green,
    AUTHOR = {Green, L. W.},
     TITLE = {A theorem of {E}. {H}opf\,},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {The Michigan Mathematical Journal},
    VOLUME = {5},
      YEAR = {1958},
     PAGES = {31--34},
      ISSN = {0026-2285},
   MRCLASS = {53.00},
  MRNUMBER = {0097833},
MRREVIEWER = {W. M. Boothby},
}

@book{GKM,
AUTHOR = {Gromoll, D. and Klingenberg, W. and Meyer, W.},
     TITLE = {Riemannsche {G}eometrie im {G}rossen},
    SERIES = {Lecture Notes in Mathematics, No. 55},
 %PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1968},
     %PAGES = {vi+287},
   MRCLASS = {53.72},
  MRNUMBER = {0229177 (37 \#4751)},
MRREVIEWER = {J. W. Smith},
addendum={[Russian translation: Д. Громол, В. Клингенберг, В. Мейер. \emph{Риманова геометрия в целом.} 1971.]
}
}

@Article{gromoll-meyer,
    Author = {D. {Gromoll} and W. {Meyer}},
    Title = {{An exotic sphere with nonnegative sectional curvature.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {100},
    Pages = {401--406},
    Year = {1974},
   % Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/1971078},
    MSC2010 = {53C20 57R55},
    Zbl = {0293.53015}
}

@Article{gromov-almost-flat,
    Author = {M. {Gromov}},
    Title = {{Almost flat manifolds.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {13},
    Pages = {231--241},
    Year = {1978},
  %  Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C20},
    Zbl = {0432.53020}
}

@incollection {gromov-hyperbolic,
    AUTHOR = {M. {Gromov}},
     TITLE = {Hyperbolic manifolds, groups and actions},
 BOOKTITLE = {Riemann surfaces and related topics: {P}roceedings of the 1978
              {S}tony {B}rook {C}onference},
    SERIES = {Ann. of Math. Stud.},
    VOLUME = {97},
     PAGES = {183--213},
 %PUBLISHER = {Princeton Univ. Press, Princeton, N.J.},
      YEAR = {1981},
   MRCLASS = {53C15 (53C45 58F17)},
  MRNUMBER = {624814 (82m:53035)},
MRREVIEWER = {M. Rees},
}

@Article{gromov-filling,
    Author = {M. {Gromov}},
    Title = {{Filling Riemannian manifolds.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {18},
    Pages = {1--147},
    Year = {1983},
   % Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C20 49Q15},
    Zbl = {0515.53037}
}

@Article{gromov-lawson,
    Author = {M. {Gromov} and B. {Lawson}},
    Title = {{Positive scalar curvature and the Dirac operator on complete Riemannian manifolds.}},
    FJournal = {{Publications Mathématiques}},
    Journal = {{Publ. Math., Inst. Hautes \'Etud. Sci.}},
    ISSN = {0073-8301; 1618-1913/e},
    Volume = {58},
    Pages = {83--196},
    Year = {1983},
  %  Publisher = {Springer, Berlin/Heidelberg; Institut des Hautes \'Etudes Scientifiques, Bures-sur-Yvette},
    Language = {English},
    DOI = {10.1007/BF02953774},
    MSC2010 = {53C20 53C27 58J20},
    Zbl = {0538.53047}
}

@Article{gromov-pseudoholomorphic,
    Author = {M. {Gromov}},
    Title = {{Pseudo holomorphic curves in symplectic manifolds.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {82},
    Pages = {307--347},
    Year = {1985},
   % Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF01388806},
    MSC2010 = {53C15 32Q99 32H99},
    Zbl = {0592.53025}
}

@book{gromov-PDR,
    Author = {M. {Gromov}},
    Title = {{Partial differential relations.}},
    ISBN = {3-540-12177-3},
    Year = {1986},
    Language = {English},
   % Publisher ={Berlin etc.: Springer-Verlag.},
    %HowPublished = {{Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Bd. 9. Berlin etc.: Springer-Verlag. ix+363 pp.; DM 148.00 (1986).}},
    MSC2010 = {53-02 53C42 58-02 58J99 32C99 35A99},
    Zbl = {0651.53001}
}

@Article{gromov-SGMC,
    Author = {M. {Gromov}},
    Title = {{Sign and geometric meaning of curvature.}},
    FJournal = {{Rendiconti del Seminario Matem\`atico e Fisico di Milano}},
    Journal = {{Rend. Semin. Mat. Fis. Milano}},
    ISSN = {0370-7377},
    Volume = {61},
    Pages = {9--123},
    Year = {1991},
  %  Publisher = {Universit\`a degli Studi di Milano, Milano},
    Language = {English},
    DOI = {10.1007/BF02925201},
    MSC2010 = {53B99 53C99},
    Zbl = {0820.53035}
}

@incollection {gromov:macroscopic-dimension,
    AUTHOR = {Gromov, M.},
     TITLE = {Positive curvature, macroscopic dimension, spectral gaps and
              higher signatures},
 BOOKTITLE = {Functional analysis on the eve of the 21st century, {V}ol.\
              {II} ({N}ew {B}runswick, {NJ}, 1993)},
    SERIES = {Progr. Math.},
    VOLUME = {132},
     PAGES = {1--213},
% PUBLISHER = {Birkhäuser Boston, Boston, MA},
      YEAR = {1996},
   MRCLASS = {53C21 (53C20 57R20)},
  MRNUMBER = {1389019},
MRREVIEWER = {Christopher W. Stark},
       DOI = {10.1007/s10107-010-0354-x},
       URL = {http://dx.doi.org/10.1007/s10107-010-0354-x},
}

@book{gromov-MetStr,
    Author = {M. {Gromov}},
    Title = {{Metric structures for Riemannian and non-Riemannian spaces.}},
   % Edition = {3rd printing},
    ISBN = {978-0-8176-4582-3/pbk},
    %pagetotal = {xx + 585},
    Year = {2007},
   % Publisher = {Basel: Birkhäuser},
    Language = {English},
    MSC2010 = {53-02 53C70 53C20 57N65 51K99},
    Zbl = {1113.53001}
}

@incollection {grove,
    AUTHOR = {K. {Grove}},
     TITLE = {Geometry of, and via, symmetries},
 BOOKTITLE = {Conformal, {R}iemannian and {L}agrangian geometry
              ({K}noxville, {TN}, 2000)},
    SERIES = {Univ. Lecture Ser.},
    VOLUME = {27},
     PAGES = {31--53},
 %PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2002},
   MRCLASS = {53C21 (53C20)},
  MRNUMBER = {1922721 (2003g:53046)},
MRREVIEWER = {Krishnan Shankar},
       DOI = {10.1090/ulect/027/02},
       URL = {http://dx.doi.org/10.1090/ulect/027/02},
}

@Article{grove-wilking,
    Author = {K. {Grove} and B. {Wilking}},
    Title = {{A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry.}},
    FJournal = {{Geometry \& Topology}},
    Journal = {{Geom. Topol.}},
    ISSN = {1465-3060; 1364-0380/e},
    Volume = {18},
    Number = {5},
    Pages = {3091--3110},
    Year = {2014},
   % Publisher = {Mathematical Sciences Publishers (MSP), Berkeley, CA; Geometry \& Topology Publications c/o University of Warwick, Mathematics Institute, Coventry},
    Language = {English},
    DOI = {10.2140/gt.2014.18.3091},
    MSC2010 = {53C23 57M25 57M60}
}

@incollection {gross,
    AUTHOR = {Gross, O.},
     TITLE = {The rendezvous value of metric space},
 BOOKTITLE = {Advances in game theory},
     PAGES = {49--53},
% PUBLISHER = {Princeton Univ. Press, Princeton, N.J.},
      YEAR = {1964},
   MRCLASS = {90.70},
  MRNUMBER = {0162643},
MRREVIEWER = {J. R. Isbell},
}

@book {guth-2005,
    AUTHOR = {Guth, L.},
     TITLE = {Area-contracting maps between rectangles},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2005},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2717258},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0808032},
}

@article {guth,
    AUTHOR = {Guth, L.},
     TITLE = {The width-volume inequality},
   JOURNAL = {Geom. Funct. Anal.},
  FJOURNAL = {Geometric and Functional Analysis},
    VOLUME = {17},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {1139--1179},
      ISSN = {1016-443X},
   MRCLASS = {53C23},
  MRNUMBER = {2373013},
MRREVIEWER = {Andrea Sambusetti},
       DOI = {10.1007/s00039-007-0628-5},
       URL = {https://doi.org/10.1007/s00039-007-0628-5},
}

@Article{guth-symplectic,
    Author = {L. {Guth}},
    Title = {{Symplectic embeddings of polydisks.}},
    FJournal = {Inventiones Mathematicae},
    Journal = {Invent. Math.},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {172},
    Number = {3},
    Pages = {477--489},
    Year = {2008},
   % Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/s00222-007-0103-9},
    MSC2010 = {53D35 53D05},
    Zbl = {1153.53060}
}

@article{hall-marriage,
  title={On representatives of subsets},
  author={Hall, P.},
  journal={J. London Math. Soc},
  volume={10},
  number={1},
  pages={26--30},
  year={1935}
}

@article{hall1,
    AUTHOR = {Hall, M.},
     TITLE = {Coset representations in free groups},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {67},
      YEAR = {1949},
     PAGES = {421--432},
      ISSN = {0002-9947},
   MRCLASS = {20.0X},
  MRNUMBER = {32642},
MRREVIEWER = {F. W. Levi},
       DOI = {10.2307/1990483},
       URL = {https://doi.org/10.2307/1990483},
}

@Article{hang-wang,
    Author = {F. {Hang} and X. {Wang}},
    Title = {{Rigidity theorems for compact manifolds with boundary and positive Ricci curvature.}},
    FJournal = {{The Journal of Geometric Analysis}},
    Journal = {{J. Geom. Anal.}},
    ISSN = {1050-6926; 1559-002X/e},
    Volume = {19},
    Number = {3},
    Pages = {628--642},
    Year = {2009},
  %  Publisher = {Springer US, New York, NY; Mathematica Josephina, St. Louis, MO},
    Language = {English},
    DOI = {10.1007/s12220-009-9074-y},
    MSC2010 = {53C24 58J32},
    Zbl = {1175.53056}
}

@article {hadwiger,
    AUTHOR = {Hadwiger, H.},
     TITLE = {Nonseparable convex systems},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {54},
      YEAR = {1947},
     PAGES = {583--585},
      ISSN = {0002-9890},
   MRCLASS = {52.0X},
  MRNUMBER = {0023548},
MRREVIEWER = {L. Fejes T{\'o}th},
}


@Article{halberg-levin-straus,
    Author = {C. {Halberg} and E. {Levin} and E. G. {Straus}},
    Title = {{On contiguous congruent sets in Euclidean space.}},
    FJournal = {{Proceedings of the American Mathematical Society}},
    Journal = {{Proc. Am. Math. Soc.}},
    ISSN = {0002-9939; 1088-6826/e},
    Volume = {10},
    Pages = {335--344},
    Year = {1959},
 %   Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/2032843},
    Zbl = {0098.35801}
}

@article {harnack,
    AUTHOR = {Harnack, A.},
     TITLE = {Ueber die {V}ieltheiligkeit der ebenen algebraischen {C}urven},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {10},
      YEAR = {1876},
    NUMBER = {2},
     PAGES = {189--198},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {Contributed Item},
  MRNUMBER = {1509883},
       DOI = {10.1007/BF01442458},
       URL = {http://dx.doi.org/10.1007/BF01442458},
       language={german},
hyphenation={german}
}

@article {hass,
    AUTHOR = {Hass, J.},
     TITLE = {Bounded {$3$}-manifolds admit negatively curved metrics with
              concave boundary},
   JOURNAL = {J. Differential Geom.},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {40},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {449--459},
      ISSN = {0022-040X},
   MRCLASS = {53C21 (53C20 57M50)},
  MRNUMBER = {1305977},
       URL = {http://projecteuclid.org/euclid.jdg/1214455774},
}

@inproceedings {gehring,
    AUTHOR = {Hayman, W. K.},
     TITLE = {Research problems in function theory: new problems},
 BOOKTITLE = {Proceedings of the {S}ymposium on {C}omplex {A}nalysis
              ({U}niv. {K}ent, {C}anterbury, 1973)},
     PAGES = {155--180. London Math. Soc. Lecture Note Ser., No. 12},
 %PUBLISHER = {Cambridge Univ. Press, London},
      YEAR = {1974},
   MRCLASS = {30-02},
  MRNUMBER = {0387546},
}

@Article{hilbert,
    Author = {D. {Hilbert}},
    Title = {{Ueber die gerade Linie als kürzeste Verbindung zweier Punkte.}},
    FJournal = {{Mathematische Annalen}},
    Journal = {{Math. Ann.}},
    ISSN = {0025-5831; 1432-1807/e},
    Volume = {46},
    Pages = {91--96},
    Year = {1895},
    %Publisher = {Springer, Berlin/Heidelberg},
    DOI = {10.1007/BF02096204},
    MSC2010 = {51A05},
    Zbl = {26.0415.01},
    language={german},
hyphenation={german}
}

@Article{hilbert-problems,
    AUTHOR = {Hilbert, D.},
     TITLE = {Mathematical problems},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {8},
      YEAR = {1902},
    NUMBER = {10},
     PAGES = {437--479},
      ISSN = {0002-9904},
   MRCLASS = {Contributed Item},
  MRNUMBER = {1557926},
       DOI = {10.1090/S0002-9904-1902-00923-3},
       URL = {http://dx.doi.org/10.1090/S0002-9904-1902-00923-3},
}

@Article{hitzelberger-lytchak,
    Author = {P. {Hitzelberger} and A. {Lytchak}},
    Title = {{Spaces with many affine functions.}},
    FJournal = {{Proceedings of the American Mathematical Society}},
    Journal = {{Proc. Am. Math. Soc.}},
    ISSN = {0002-9939; 1088-6826/e},
    Volume = {135},
    Number = {7},
    Pages = {2263--2271},
    Year = {2007},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.1090/S0002-9939-07-08728-X},
    MSC2010 = {53C20 53C21 53C22},
    Zbl = {1128.53021}
}

@Article{honda,
    Author = {K. {Honda}},
    Title = {{Transversality theorems for harmonic forms.}},
    FJournal = {{Rocky Mountain Journal of Mathematics}},
    Journal = {{Rocky Mt. J. Math.}},
    ISSN = {0035-7596},
    Volume = {34},
    Number = {2},
    Pages = {629--664},
    Year = {2004},
    %Publisher = {Rocky Mountain Mathematics Consortium c/o Arizona State University, Tempe, AZ},
    Language = {English},
    DOI = {10.1216/rmjm/1181069872},
    MSC2010 = {58A14 58J50 58J32 58J37},
    Zbl = {1071.58002}
}

@article {hopf-conjugate,
    AUTHOR = {Hopf, E.},
     TITLE = {Closed surfaces without conjugate points},
   JOURNAL = {Proc. Nat. Acad. Sci. U. S. A.},
  FJOURNAL = {Proceedings of the National Academy of Sciences of the United
              States of America},
    VOLUME = {34},
      YEAR = {1948},
     PAGES = {47--51},
      ISSN = {0027-8424},
   MRCLASS = {53.0X},
  MRNUMBER = {0023591},
MRREVIEWER = {G. A. Hedlund},
}

@Article{hsiang-kleiner,
    Author = {Hsiang, W.-Y. and Kleiner, B.},
    Title = {{On the topology of positively curved 4-manifolds with symmetry.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {29},
    Number = {3},
    Pages = {615--621},
    Year = {1989},
   % Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C20},
    Zbl = {0674.53047}
}

@article {hedlund,
    AUTHOR = {Hedlund, G. A.},
     TITLE = {Geodesics on a two-dimensional {R}iemannian manifold with
              periodic coefficients},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {33},
      YEAR = {1932},
    NUMBER = {4},
     PAGES = {719--739},
      ISSN = {0003-486X},
   MRCLASS = {DML},
  MRNUMBER = {1503086},
       DOI = {10.2307/1968215},
       URL = {https://doi.org/10.2307/1968215},
}

@Article{imre-kuiperberg-zamfirescu,
    Author = {I. {B\'ar\'any} and K. {Kuperberg} and T. {Zamfirescu}},
    Title = {{Total curvature and spiralling shortest paths.}},
    FJournal = {{Discrete \& Computational Geometry}},
    Journal = {{Discrete Comput. Geom.}},
    ISSN = {0179-5376; 1432-0444/e},
    Volume = {30},
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    Pages = {167--176},
    Year = {2003},
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    Language = {English},
    DOI = {10.1007/s00454-003-0001-z},
    MSC2010 = {52A15},
    Zbl = {1043.52004}
}

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    Language = {English},
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    MSC2010 = {05C10 30F10 57M50 05B45},
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language={german},
hyphenation={german}
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@incollection {kneser,
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    Year = {1955},
    %Publisher = {North-Holland, Amsterdam},
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@Article{kuratowski,
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       URL = {https://doi.org/10.4064/bc77-0-12},
}

@article {lebedeva,
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     TITLE = {Alexandrov spaces with maximal number of extremal points},
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    VOLUME = {19},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {1493--1521},
      ISSN = {1465-3060},
   MRCLASS = {53C45 (20F55 51K10)},
  MRNUMBER = {3352242},
       DOI = {10.2140/gt.2015.19.1493},
       URL = {http://dx.doi.org/10.2140/gt.2015.19.1493},
}

@article {lebedeva-petrunin-zolotov,
    AUTHOR = {Lebedeva, N. and Petrunin, A. and Zolotov, V.},
     TITLE = {Bipolar comparison},
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  FJOURNAL = {Geometric and Functional Analysis},
    VOLUME = {29},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {258--282},
      ISSN = {1016-443X},
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  MRNUMBER = {3925110},
MRREVIEWER = {Nan Li},
       DOI = {10.1007/s00039-019-00481-9},
       URL = {https://doi.org/10.1007/s00039-019-00481-9},
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@Article{lohkamp,
    Author = {J. {Lohkamp}},
    Title = {{Metrics of negative Ricci curvature.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {140},
    Number = {3},
    Pages = {655--683},
    Year = {1994},
   % Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/2118620},
    MSC2010 = {53C20},
    Zbl = {0824.53033}
}

@incollection {lytchak:conjugate,
    AUTHOR = {Lytchak, A.},
     TITLE = {Singular {R}iemannian foliations on spaces without conjugate
              points},
 BOOKTITLE = {Differential geometry},
     PAGES = {75--82},
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      YEAR = {2009},
   MRCLASS = {53C12 (53C20 53D25 57R30)},
  MRNUMBER = {2523492},
MRREVIEWER = {James J. Hebda},
       DOI = {10.1142/9789814261173_0007},
       URL = {https://doi.org/10.1142/9789814261173_0007},
}

@article {lytchak-petrunin,
    AUTHOR = {Lytchak, A. and Petrunin, A.},
     TITLE = {About every convex set in any generic {R}iemannian manifold},
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  FJOURNAL = {Journal für die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {782},
      YEAR = {2022},
     PAGES = {235--245},
      ISSN = {0075-4102},
   MRCLASS = {53C22},
  MRNUMBER = {4360005},
       DOI = {10.1515/crelle-2021-0058},
       URL = {https://doi.org/10.1515/crelle-2021-0058},
}

@article {lytchak-wenger,
Author={Lytchak, A. and Wenger, S.},
     TITLE = {Intrinsic structure of minimal discs in metric spaces},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {22},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {591--644},
      ISSN = {1465-3060},
   MRCLASS = {49Q05 (53A10 53C23)},
  MRNUMBER = {3720351},
MRREVIEWER = {Andrew Bucki},
       DOI = {10.2140/gt.2018.22.591},
       URL = {https://doi.org/10.2140/gt.2018.22.591},
}

@Article{mazur-ulam,
    Author = {S. {Mazur} and S. {Ulam}},
    Title = {{Sur les transformations isométriques d'espaces vectoriels, normés.}},
    FJournal = {{Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Paris}},
    Journal = {{C. R. Acad. Sci., Paris}},
    ISSN = {0001-4036},
    Volume = {194},
    Pages = {946--948},
    Year = {1932},
 %   Publisher = {Gauthier-Villars, Paris},
    Language = {French},
    Zbl = {58.0423.01}
}

@article {michael-1,
    AUTHOR = {Michael, E.},
     TITLE = {Continuous selections. {I}},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {63},
      YEAR = {1956},
     PAGES = {361--382},
      ISSN = {0003-486X},
   MRCLASS = {56.0X},
  MRNUMBER = {0077107},
MRREVIEWER = {M. Henriksen},
       DOI = {10.2307/1969615},
       URL = {https://doi.org/10.2307/1969615},
}

@article {michael-2,
    AUTHOR = {Michael, E.},
     TITLE = {Continuous selections. {II}},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {64},
      YEAR = {1956},
     PAGES = {562--580},
      ISSN = {0003-486X},
   MRCLASS = {54.0X},
  MRNUMBER = {0080909},
MRREVIEWER = {M. Henriksen},
       DOI = {10.2307/1969603},
       URL = {https://doi.org/10.2307/1969603},
}

@article {michael-3,
    AUTHOR = {Michael, E.},
     TITLE = {Continuous selections. {III}},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {65},
      YEAR = {1957},
     PAGES = {375--390},
      ISSN = {0003-486X},
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  MRNUMBER = {0083715},
MRREVIEWER = {M. Henriksen},
       DOI = {10.2307/1969969},
       URL = {https://doi.org/10.2307/1969969},
}

@book {milman-schechtman,
    AUTHOR = {Milman, V. and Schechtman, G.},
     TITLE = {Asymptotic theory of finite-dimensional normed spaces},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1200},
    %  NOTE = {With an appendix by M. Gromov},
% PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1986},
     %PAGES = {viii+156},
      ISBN = {3-540-16769-2},
   MRCLASS = {46B20 (52A22 53C21 60B11)},
  MRNUMBER = {856576}
}

@Article{monsky,
    Author = {P. {Monsky}},
    Title = {{On dividing a square into triangles.}},
    FJournal = {{American Mathematical Monthly}},
    Journal = {{Am. Math. Mon.}},
    ISSN = {0002-9890},
    Volume = {77},
    Pages = {161--164},
    Year = {1970},
   % Publisher = {Mathematical Association of America (MAA), Washington, DC},
    Language = {English},
    DOI = {10.2307/2317329},
    Zbl = {0187.19701}
}

@Article{nabutovsky-rotman,
    Author = {A. {Nabutovsky} and R. {Rotman}},
    Title = {{Length of geodesics and quantitative Morse theory on loop spaces.}},
    FJournal = {{Geometric and Functional Analysis. GAFA}},
    Journal = {{Geom. Funct. Anal.}},
    ISSN = {1016-443X; 1420-8970/e},
    Volume = {23},
    Number = {1},
    Pages = {367--414},
    Year = {2013},
   % Publisher = {Springer (Birkhäuser), Basel},
    Language = {English},
    DOI = {10.1007/s00039-012-0207-2},
    MSC2010 = {53C22 58B05},
    Zbl = {1273.53035}
}

@Article{nash,
    Author = {J. {Nash}},
    Title = {{$C^1$ isometric imbeddings.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {60},
    Pages = {383--396},
    Year = {1954},
   % Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/1969840},
    Zbl = {0058.37703}
}

@Article{osgood,
    Author = {W. F. {Osgood}},
    Title = {{A {\it Jordan} curve of positive area.}},
    FJournal = {{Transactions of the American Mathematical Society}},
    Journal = {{Trans. Am. Math. Soc.}},
    ISSN = {0002-9947; 1088-6850/e},
    Volume = {4},
    Pages = {107--112},
    Year = {1903},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.2307/1986455},
    Zbl = {34.0533.02}
}

@book{ovsienko-tabachnikov,
    Author = {V. {Ovsienko} and S. {Tabachnikov}},
    Title = {{Projective differential geometry old and new. From the Schwarzian derivative to the cohomology of diffeomorphism groups.}},
    ISBN = {0-521-83186-5},
    %pagetotal = {xi + 249},
    Year = {2005},
   % Publisher = {Cambridge: Cambridge University Press},
    Language = {English},
    MSC2010 = {53-02 53A20 53D17 53C07 53B10 51N15},
    Zbl = {1073.53001}
}

@article {pak-pinchas,
    AUTHOR = {Pak, I. and Pinchasi, R.},
     TITLE = {Collapsing walls theorem},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {156--160},
      ISSN = {0002-9890},
   MRCLASS = {52B10 (52C17)},
  MRNUMBER = {2892429},
       DOI = {10.4169/amer.math.monthly.119.02.156},
       URL = {https://doi.org/10.4169/amer.math.monthly.119.02.156},
}

@article {pankrashkin,
    AUTHOR = {Pankrashkin, K.},
     TITLE = {An inequality for the maximum curvature through a geometric
              flow},
   JOURNAL = {Arch. Math. (Basel)},
  FJOURNAL = {Archiv der Mathematik},
    VOLUME = {105},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {297--300},
      ISSN = {0003-889X},
   MRCLASS = {53A04 (35B50 53C44)},
  MRNUMBER = {3391488},
MRREVIEWER = {Xuan Hien Nguyen},
       DOI = {10.1007/s00013-015-0804-z},
       URL = {http://dx.doi.org/10.1007/s00013-015-0804-z},
}

@Article{panov-Kaeler,
    Author = {D. {Panov}},
    Title = {{Polyhedral Kähler manifolds.}},
    FJournal = {{Geometry \& Topology}},
    Journal = {{Geom. Topol.}},
    ISSN = {1465-3060; 1364-0380/e},
    Volume = {13},
    Number = {4},
    Pages = {2205--2252},
    Year = {2009},
   % Publisher = {Mathematical Sciences Publishers (MSP), Berkeley, CA; Geometry \& Topology Publications c/o University of Warwick, Mathematics Institute, Coventry},
    Language = {English},
    DOI = {10.2140/gt.2009.13.2205},
    MSC2010 = {53C56 32Q15 53C55 57Q15 52B70},
    Zbl = {1175.53082}
}

@Article{panov-torus,
    Author = {D. {Panov}},
    Title = {{Foliations with unbounded deviation on $\mathbb T^2$.}},
    FJournal = {{Journal of Modern Dynamics}},
    Journal = {{J. Mod. Dyn.}},
    ISSN = {1930-5311; 1930-532X/e},
    Volume = {3},
    Number = {4},
    Pages = {589--594},
    Year = {2009},
    %Publisher = {American Institute of Mathematical Sciences (AIMS), Springfield, MO},
    Language = {English},
    DOI = {10.3934/jmd.2009.3.589},
    MSC2010 = {37E35 57M50},
    Zbl = {1186.37052}
}

@article {panov-curves,
    AUTHOR = {Panov, D.},
     TITLE = {Parabolic curves and gradient mappings},
   JOURNAL = {Proc. Steklov Inst. Math.},
    VOLUME = {2(221)},
      YEAR = {1998},
     PAGES = {261--278},
      ISSN = {0371-9685},
   MRCLASS = {53C45},
  MRNUMBER = {1683700 (2000c:53085)},
}


@Article{panov-petrunin-telescopic,
    Author = {D. {Panov} and A. {Petrunin}},
    Title = {{Telescopic actions.}},
    FJournal = {{Geometric and Functional Analysis. GAFA}},
    Journal = {{Geom. Funct. Anal.}},
    ISSN = {1016-443X; 1420-8970/e},
    Volume = {22},
    Number = {6},
    Pages = {1814--1831},
    Year = {2012},
   % Publisher = {Springer (Birkhäuser), Basel},
    Language = {English},
    DOI = {10.1007/s00039-012-0194-3},
    MSC2010 = {57M60 58D19 20F99 53D35 57M05},
    Zbl = {1271.57051}
}

@Article{panov-petrunin,
    Author = {D. {Panov} and A. {Petrunin}},
    Title = {{Sweeping out sectional curvature.}},
    FJournal = {{Geometry \& Topology}},
    Journal = {{Geom. Topol.}},
    ISSN = {1465-3060; 1364-0380/e},
    Volume = {18},
    Number = {2},
    Pages = {617--631},
    Year = {2014},
    %Publisher = {Mathematical Sciences Publishers (MSP), Berkeley, CA; Geometry \& Topology Publications c/o University of Warwick, Mathematics Institute, Coventry},
    Language = {English},
    DOI = {10.2140/gt.2014.18.617},
    MSC2010 = {53C24 53C20},
    Zbl = {1296.53091}
}

@Article{perelman,
    Author = {G. {Perelman}},
    Title = {{Proof of the soul conjecture of Cheeger and Gromoll.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {40},
    Number = {1},
    Pages = {209--212},
    Year = {1994},
   % Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C20},
    Zbl = {0818.53056}
}

@inproceedings {perelman-Erdos,
    AUTHOR = {Perelman, G.},
     TITLE = {Spaces with curvature bounded below},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians, {V}ol.\ 1, 2 ({Z}ürich, 1994)},
     PAGES = {517--525},
 %PUBLISHER = {Birkhäuser, Basel},
      YEAR = {1995},
   MRCLASS = {53C23 (53C21)},
  MRNUMBER = {1403952 (97g:53055)},
MRREVIEWER = {Zhongmin Shen},
}


@Article{petrunin-paths,
    Author = {A. {Petrunin}},
    Title = {{On intrinsic isometries to Euclidean space.}},
    FJournal = {{St. Petersburg Mathematical Journal}},
    Journal = {{St. Petersbg. Math. J.}},
    ISSN = {1061-0022; 1547-7371/e},
    Volume = {22},
    Number = {5},
    Pages = {803--812},
    Year = {2011},
   % Publisher = {American Mathematical Society (AMS), Providence, RI},
    Language = {English},
    DOI = {10.1090/S1061-0022-2011-01169-0},
    MSC2010 = {53C23},
    Zbl = {1225.53041}
}


@article {petrunin-monthly,
    AUTHOR = {Petrunin, A.},
     TITLE = {Area minimizing polyhedral surfaces are saddle},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {122},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {264--267},
      ISSN = {0002-9890},
   MRCLASS = {53A10 (49Q05)},
  MRNUMBER = {3327716},
       DOI = {10.4169/amer.math.monthly.122.03.264},
       URL = {http://dx.doi.org/10.4169/amer.math.monthly.122.03.264},
}

@article{petrunin-yashinsky,
    AUTHOR = {Petrunin, A. and Yashinski, A.},
     TITLE = {Piecewise isometric mappings},
   JOURNAL = {St. Petersburg Math. J.},
    VOLUME = {27},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {155--175},
      ISSN = {0234-0852},
   MRCLASS = {53C45 (26A16)},
  MRNUMBER = {3443270},
}

@article {petrunin-stadler,
    AUTHOR = {Petrunin, A. and Stadler, S.},
     TITLE = {Monotonicity of saddle maps},
   JOURNAL = {Geom. Dedicata},
  FJOURNAL = {Geometriae Dedicata},
    VOLUME = {198},
      YEAR = {2019},
     PAGES = {181--188},
      ISSN = {0046-5755},
   MRCLASS = {53C45 (53C23 53C43)},
  MRNUMBER = {3933457},
       DOI = {10.1007/s10711-018-0337-2},
       URL = {https://doi.org/10.1007/s10711-018-0337-2},
}

@incollection {pisier,
    AUTHOR = {Pisier, G.},
     TITLE = {Probabilistic methods in the geometry of {B}anach spaces},
 BOOKTITLE = {Probability and analysis ({V}arenna, 1985)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1206},
     PAGES = {167--241},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1986},
   MRCLASS = {46B20 (60B05 60E15)},
  MRNUMBER = {864714},
MRREVIEWER = {Jerzy Szulga},
       DOI = {10.1007/BFb0076302},
       URL = {https://doi.org/10.1007/BFb0076302},
}

@article{poincare,
author={H. Poincaré},
title={Sur un th\'{e}or\`{e}me de g\'{e}ometrie}, 
journal={Rend. Circ. Mat. Palermo}, 
volume={33},
date={1912},
pages={375--407}
}

@Article{rademacher,
    Author = {H. {Rademacher}},
    Title = {{Über partielle und totale Differenzierbarkeit von Funktionen mehrerer Variablen und über die Transformation der Doppelintegrale. I, II.}},
    FJournal = {{Mathematische Annalen}},
    Journal = {{Math. Ann.}},
    ISSN = {0025-5831; 1432-1807/e},
    Volume = {79},
    Pages = {340--359},
    Year = {1920},
    %Publisher = {Springer, Berlin/Heidelberg},
    DOI = {10.1007/BF01498415},
    Zbl = {47.0243.01},
    language={german},
hyphenation={german}
}

@article {radin,
    AUTHOR = {Radin, C.},
     TITLE = {Orbits of orbs: sphere packing meets {P}enrose tilings},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {111},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {137--149},
      ISSN = {0002-9890},
   MRCLASS = {52C23 (37B50)},
  MRNUMBER = {2042761},
       URL = {https://doi.org/10.2307/4145214},
}

@Article{rembs,
    Author = {E. {Rembs}},
    Title = {{Verbiegungen höherer Ordnung und ebene Flä\-chen\-rinnen.}},
    FJournal = {{Mathematische Zeitschrift}},
    Journal = {{Math. Z.}},
    ISSN = {0025-5874; 1432-1823/e},
    Volume = {36},
    Pages = {110--121},
    Year = {1932},
   % Publisher = {Springer, Berlin/Heidelberg},
    DOI = {10.1007/BF01188611},
    Zbl = {58.0744.01},
    language={german},
hyphenation={german}
}

@Article{ruh,
    Author = {E. {Ruh}},
    Title = {{Almost flat manifolds.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {17},
    Pages = {1--14},
    Year = {1982},
    %Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {53C20 53C30},
    Zbl = {0468.53036}
}

@Article{sabitov,
    Author = {I. Kh. {Sabitov}},
    Title = {{On infinitesimal bendings of troughs of revolution. I.}},
    FJournal = {{Mathematics of the USSR, Sbornik}},
    Journal = {{Math. USSR, Sb.}},
    ISSN = {0025-5734},
    Volume = {27},
    Pages = {103--117},
    Year = {1977},
    %Publisher = {American Mathematical Society},
    Language = {English},
    DOI = {10.1070/SM1975v027n01ABEH002503},
    MSC2010 = {53C45 53A05},
    Zbl = {0349.53044}
}

@article {seyfaddini,
    AUTHOR = {Seyfaddini, S.},
     TITLE = {The displaced disks problem via symplectic topology},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Mathématique. Académie des Sciences. Paris},
    VOLUME = {351},
      YEAR = {2013},
    NUMBER = {21-22},
     PAGES = {841--843},
      ISSN = {1631-073X},
   MRCLASS = {57R17},
  MRNUMBER = {3128973},
MRREVIEWER = {Weiwei Wu},
       DOI = {10.1016/j.crma.2013.10.007},
       URL = {http://dx.doi.org/10.1016/j.crma.2013.10.007},
}

@thesis{sahovic,
    Author = {V. {\v Sahovi\'c}},
    Title = {{Approximations of Riemannian manifolds with linear curvature constraints.}},
    %Pagetotal = {62},
    Year = {2009},
    type = {Thesis},
    institution={Univ. Münster, },
    Language = {English},
    MSC2010 = {53C23 53-02},
    Zbl = {1186.53053}
}

@Article{schoen-yau,
    Author = {R. {Schoen} and S.-T. {Yau}},
    Title = {{Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature.}},
    FJournal = {{Annals of Mathematics. Second Series}},
    Journal = {{Ann. Math. (2)}},
    ISSN = {0003-486X; 1939-8980/e},
    Volume = {110},
    Pages = {127--142},
    Year = {1979},
    %Publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers (MSP), Berkeley, CA},
    Language = {English},
    DOI = {10.2307/1971247},
    MSC2010 = {53C42 49Q05 53C20},
    Zbl = {0431.53051}
}

@article {schoen-yau-2D,
    AUTHOR = {R. {Schoen} and S.-T. {Yau}},
     TITLE = {On univalent harmonic maps between surfaces},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {44},
      YEAR = {1978},
    NUMBER = {3},
     PAGES = {265--278},
      ISSN = {0020-9910},
   MRCLASS = {58E15},
  MRNUMBER = {0478219},
MRREVIEWER = {Jill P. Mesirov},
       DOI = {10.1007/BF01403164},
       URL = {http://dx.doi.org/10.1007/BF01403164},
}

@article {siebenmann,
    AUTHOR = {Siebenmann, L. C.},
     TITLE = {Deformation of homeomorphisms on stratified sets.},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {47},
      YEAR = {1972},
     PAGES = {123--136},
      ISSN = {0010-2571},
   MRCLASS = {57A35 (57D30)},
  MRNUMBER = {0319207 (47 \#7752)},
MRREVIEWER = {R. C. Kirby},
}

@article{shen,
author={Shen, A.},
title={Unexpected proofs},
subtitle={Boxes in a Train},
pages={48--50},
journal={Math. Intelligencer},
volume={21},
date={1999},
number={3}
}

@Article{stallings,
    Author = {J. {Stallings}},
    Title = {{Topology of finite graphs.}},
    FJournal = {{Inventiones Mathematicae}},
    Journal = {{Invent. Math.}},
    ISSN = {0020-9910; 1432-1297/e},
    Volume = {71},
    Pages = {551--565},
    Year = {1983},
   % Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF02095993},
    MSC2010 = {20E07 20E05 05C25 20F05 05C05 57M10},
    Zbl = {0521.20013}
}

@article{steiner,
  title={Über parallele flächen},
  author={Steiner, J.},
  journal={Monatsber. Preuss. Akad. Wiss},
  volume={2},
  pages={114--118},
  year={1840}
}


@incollection{sullivan,
    AUTHOR = {Sullivan, D.},
     TITLE = {Hyperbolic geometry and homeomorphisms},
 BOOKTITLE = {Geometric topology ({P}roc. {G}eorgia {T}opology {C}onf.,
              {A}thens, {G}a., 1977)},
     PAGES = {543--555},
 %PUBLISHER = {Academic Press, New York-London},
      YEAR = {1979},
   MRCLASS = {57N99 (30C60 57Q25 57R15 58A12 58G10)},
  MRNUMBER = {537749 (81m:57012)},
MRREVIEWER = {Christopher W. Stark},
}

@article{schwarz1890definition,
  title={Sur une définition erronée de l’aire d’une surface courbe},
  author={Schwarz, H. A.},
  journal={Gesammelte Mathematische Abhandlungen},
  volume={1},
  pages={309--311},
  year={1890},
  Language = {French}
}

@Article{synge,
    Author = {J. L. {Synge}},
    Title = {{On the connectivity of spaces of positive curvature.}},
    FJournal = {{The Quarterly Journal of Mathematics. Oxford Series}},
    Journal = {{Q. J. Math., Oxf. Ser.}},
    ISSN = {0033-5606},
    Volume = {7},
    Pages = {316--320},
    Year = {1936},
    %Publisher = {Oxford University Press, Oxford},
    Language = {English},
    Zbl = {62.0861.04}
}

@InCollection{tabachnikov,
    Author = {S. {Tabachnikov}},
    Title = {The tale of a geometric inequality.},
    BookTitle = {{MASS selecta: teaching and learning advanced undergraduate mathematics}},
    ISBN = {0-8218-3363-4/hbk},
    Pages = {257--262},
    Year = {2003},
   % Publisher = {Providence, RI: American Mathematical Society (AMS)},
    Language = {English},
    MSC2010 = {53A04 53C65},
    Zbl = {1093.53001}
}

@Article{tabachnikov-mi,
author={Tabachnikov, S.},
title={Supporting cords of convex sets},
subtitle={Problem 91-2 in Mathematical Entertainments},
journal={Mathematical Intelligencer},
volume={13},
number={1},
pages={33},
date={1991}
}

@Article{tabachnikov-tan,
    Author = {S. {Tabachnikov}},
    Title = {{The (un)equal tangents problem.}},
    FJournal = {{American Mathematical Monthly}},
    Journal = {{Am. Math. Mon.}},
    ISSN = {0002-9890},
    Volume = {119},
    Number = {5},
    Pages = {398--405},
    Year = {2012},
    %Publisher = {Mathematical Association of America (MAA), Washington, DC},
    Language = {English},
    DOI = {10.4169/amer.math.monthly.119.05.398},
    MSC2010 = {52A10},
    Zbl = {1269.52005}
}

@Article{tait,
    Author = {P. G. {Tait}},
    Title = {{Note on the circles of curvature of a plane curve.}},
    FJournal = {{Proceedings of the Edinburgh Mathematical Society}},
    Journal = {{Proc. Edinb. Math. Soc.}},
    ISSN = {0013-0915},
    Volume = {14},
    Pages = {26},
    Year = {1896},
    %Publisher = {Edinburgh Mathematical Society, Edinburgh},
    Language = {English},
    DOI = {10.1017/S0013091500031710},
    Zbl = {27.0466.03}
}

@article {terng-thorbergsson,
    AUTHOR = {Terng, C.-L. and Thorbergsson, G.},
     TITLE = {Submanifold geometry in symmetric spaces},
   JOURNAL = {J. Differential Geom.},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {42},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {665--718},
      ISSN = {0022-040X},
   MRCLASS = {53C35 (53C40)},
  MRNUMBER = {1367405},
MRREVIEWER = {Autorreferat (G.T.)},
       URL = {http://projecteuclid.org/euclid.jdg/1214457552},
}

@book {thurston,
    AUTHOR = {Thurston, W.},
     TITLE = {Three-dimensional geometry and topology. {V}ol. 1},
    SERIES = {Princeton Mathematical Series},
    VOLUME = {35},
    %  NOTE = {Edited by Silvio Levy},
% PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {1997},
     %PAGES = {x+311},
      ISBN = {0-691-08304-5},
   MRCLASS = {57M50 (53A35 57M25 57M60 57N10)},
  MRNUMBER = {1435975 (97m:57016)},
MRREVIEWER = {Athanase Papadopoulos},
}

@article {tukia-vaisala,
    AUTHOR = {Tukia, P. and Väisälä, J.},
     TITLE = {Lipschitz and quasiconformal approximation and extension},
   JOURNAL = {Ann. Acad. Sci. Fenn. Ser. A I Math.},
  FJOURNAL = {Suomalaisen Tiedeakatemian Toimituksia. Sarja A. Annales
              Academiae Scientiarum Fennicae. Series A I. Mathematica},
    VOLUME = {6},
      YEAR = {1981},
    NUMBER = {2},
     PAGES = {303--342 (1982)},
      ISSN = {0066-1953},
   MRCLASS = {57Q25 (30C60 54E40 57Q30)},
  MRNUMBER = {658932},
MRREVIEWER = {David C. Wilson},
       DOI = {10.5186/aasfm.1981.0626},
       URL = {https://doi.org/10.5186/aasfm.1981.0626},
}


@Article{vaisala,
    Author = {J. {Väisälä}},
    Title = {{A proof of the Mazur--Ulam theorem.}},
    FJournal = {{American Mathematical Monthly}},
    Journal = {{Am. Math. Mon.}},
    ISSN = {0002-9890},
    Volume = {110},
    Number = {7},
    Pages = {633--635},
    Year = {2003},
    %Publisher = {Mathematical Association of America (MAA), Washington, DC},
    Language = {English},
    DOI = {10.2307/3647749},
    MSC2010 = {46B20},
    Zbl = {1046.46017}
}

@Article{valentine,
    Author = {F. A. {Valentine}},
    Title = {{On the extension of a vector function so as to preserve a Lipschitz condition.}},
    FJournal = {{Bulletin of the American Mathematical Society}},
    Journal = {{Bull. Am. Math. Soc.}},
    ISSN = {0002-9904; 1936-881X/e},
    Volume = {49},
    Pages = {100--108},
    Year = {1943},
    %Publisher = {American Mathematical Society, Providence, RI},
    Language = {English},
    DOI = {10.1090/S0002-9904-1943-07859-7},
    Zbl = {0061.37505}
}

@thesis{walsh,
    AUTHOR = {Walsh, G.},
     TITLE = {Great circle links in the three-sphere},
      NOTE = {Thesis (Ph.D.)--University of California, Davis},
% PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2003},
   MRCLASS = {Thesis},
  MRNUMBER = {2717125},
       URL =
       {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0805469},
}


@Article{weyl,
    Author = {H. {Weyl}},
    Title = {{On the volume of tubes.}},
    FJournal = {{American Journal of Mathematics}},
    Journal = {{Am. J. Math.}},
    ISSN = {0002-9327; 1080-6377/e},
    Volume = {61},
    Pages = {461--472},
    Year = {1939},
   % Publisher = {Johns Hopkins University Press, Baltimore, MD},
    Language = {English},
    DOI = {10.2307/2371513},
    Zbl = {65.0796.01}
}

@Article{weinstein,
    Author = {A. {Weinstein}},
    Title = {{Positively curved $n$-manifolds in $\mathbb{R}^{n+2}$.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {4},
    Pages = {1--4},
    Year = {1970},
    %Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    Zbl = {0194.52903}
}

@Article{white,
    Author = {B. {White}},
    Title = {{Infima of energy functionals in homotopy classes of mappings.}},
    FJournal = {{Journal of Differential Geometry}},
    Journal = {{J. Differ. Geom.}},
    ISSN = {0022-040X; 1945-743X/e},
    Volume = {23},
    Pages = {127--142},
    Year = {1986},
   % Publisher = {International Press of Boston, Somerville, MA},
    Language = {English},
    MSC2010 = {58E20 55Q05},
    Zbl = {0588.58017}
}

@Article{wilking-2003,
    Author = {B. {Wilking}},
    Title = {{Torus actions on manifolds of positive sectional curvature.}},
    FJournal = {{Acta Mathematica}},
    Journal = {{Acta Math.}},
    ISSN = {0001-5962; 1871-2509/e},
    Volume = {191},
    Number = {2},
    Pages = {259--297},
    Year = {2003},
   % Publisher = {Springer Netherlands, Dordrecht; Institut Mittag-Leffler, Stockholm},
    Language = {English},
    DOI = {10.1007/BF02392966},
    MSC2010 = {53C20 53C21},
    Zbl = {1062.53029}
}

@Article{zamfirescu,
    Author = {T. {Zamfirescu}},
    Title = {{Baire categories in convexity.}},
    FJournal = {{Atti del Seminario Matematico e Fisico dell'Universit\`a di Modena}},
    Journal = {{Atti Semin. Mat. Fis. Univ. Modena}},
    ISSN = {0041-8986},
    Volume = {39},
    Number = {1},
    Pages = {139--164},
    Year = {1991},
    Language = {English},
    MSC2010 = {52A20 52-02 54E52},
    Zbl = {0780.52003}
}

@book {winkler,
    AUTHOR = {Winkler, P.},
     TITLE = {Mathematical puzzles: a connoisseur's collection},
% PUBLISHER = {A K Peters, Ltd., Natick, MA},
      YEAR = {2004},
     %PAGES = {xii+163},
      ISBN = {1-56881-201-9},
   MRCLASS = {00A08 (00A07)},
  MRNUMBER = {2034896},
}

@Article{yau,
    Author = {S.-T. {Yau}},
    Title = {{Non-existence of continuous convex functions on certain Riemannian manifolds.}},
    FJournal = {{Mathematische Annalen}},
    Journal = {{Math. Ann.}},
    ISSN = {0025-5831; 1432-1807/e},
    Volume = {207},
    Pages = {269--270},
    Year = {1974},
   % Publisher = {Springer, Berlin/Heidelberg},
    Language = {English},
    DOI = {10.1007/BF01351342},
    MSC2010 = {53C20},
    Zbl = {0261.53036}
}

@Article{yau-ricci,
    Author = {S.-T. {Yau}},
    Title = {{Some function-theoretic properties of complete Riemannian manifold and their applications to geometry.}},
    FJournal = {{Indiana University Mathematics Journal}},
    Journal = {{Indiana Univ. Math. J.}},
    ISSN = {0022-2518},
    Volume = {25},
    Pages = {659--670},
    Year = {1976},
   % Publisher = {Indiana University, Department of Mathematics, Bloomington, IN},
    Language = {English},
    DOI = {10.1512/iumj.1976.25.25051},
    MSC2010 = {53C20 53C55 32A10 31B05},
    Zbl = {0335.53041}
}

@Article{yoneyama,
    Author = {K. {Yoneyama}},
    Title = {{Theory of continuous set of points.}},
    FJournal = {{Tohoku Mathematical Journal}},
    Journal = {{Tohoku Math. J.}},
    ISSN = {0040-8735},
    Volume = {12},
    Pages = {43--158},
    Year = {1918},
    %Publisher = {Tohoku University, Sendai},
    Language = {English; Japanese},
    MSC2010 = {03-XX},
    Zbl = {46.0303.01}
}

%EXTRA

@book{akp,
author={Alexander, S. and Kapovitch, V. and Petrunin, A.},
title={Alexandrov geometry: foundations},
archivePrefix = "arXiv",
eprint        = "1903.08539",
primaryClass  = "math.DG"
}

@Article{calabi,
   author={Calabi, E.},
   title={On manifolds with non-negative Ricci curvature II},
   journal={Notices AMS},
   volume={22},
   date={1975},
   pages={A205},
}

@article {CJKSW,
    AUTHOR = {Cantarella, J. and Fu, J. H. G. and Kusner, R. and
              Sullivan, J. and Wrinkle, N. C.},
     TITLE = {Criticality for the {G}ehring link problem},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry and Topology},
    VOLUME = {10},
      YEAR = {2006},
     PAGES = {2055--2116},
      ISSN = {1465-3060},
   MRCLASS = {58E10 (49Q10 53A04 57M25)},
  MRNUMBER = {2284052},
MRREVIEWER = {Dave Auckly},
       DOI = {10.2140/gt.2006.10.2055},
       URL = {http://dx.doi.org/10.2140/gt.2006.10.2055},
}

@article {charney-davis,
    AUTHOR = {Charney, R. and Davis, M.},
     TITLE = {Singular metrics of nonpositive curvature on branched covers
              of {R}iemannian manifolds},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {115},
      YEAR = {1993},
    NUMBER = {5},
     PAGES = {929--1009},
      ISSN = {0002-9327},
   MRCLASS = {53C23 (57M12)},
  MRNUMBER = {1246182},
MRREVIEWER = {Athanase Papadopoulos},
       DOI = {10.2307/2375063},
       URL = {https://doi.org/10.2307/2375063},
}

@article {kapovich-kleiner,
    AUTHOR = {Kapovich, M. and Kleiner, B.},
     TITLE = {Hyperbolic groups with low-dimensional boundary},
   JOURNAL = {Ann. Sci. \'{E}cole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
              S\'{e}rie},
    VOLUME = {33},
      YEAR = {2000},
    NUMBER = {5},
     PAGES = {647--669},
      ISSN = {0012-9593},
   MRCLASS = {20F67 (57M07)},
  MRNUMBER = {1834498},
MRREVIEWER = {Thomas Delzant},
       DOI = {10.1016/S0012-9593(00)01049-1},
       URL = {https://doi.org/10.1016/S0012-9593(00)01049-1},
}

@article {kapovitch,
    AUTHOR = {Kapovitch, V.},
     TITLE = {Restrictions on collapsing with a lower sectional curvature
              bound},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {249},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {519--539},
      ISSN = {0025-5874},
     CODEN = {MAZEAX},
   MRCLASS = {53C23},
  MRNUMBER = {2121738},
MRREVIEWER = {Janko Latschev},
       DOI = {10.1007/s00209-004-0715-3},
       URL = {http://dx.doi.org/10.1007/s00209-004-0715-3},
}


@thesis{krat,
    AUTHOR = {Krat, S.},
     TITLE = {Approximation problems in length geometry},
      NOTE = {Thesis (Ph.D.)--The Pennsylvania State University},
 %PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2004},
     PAGES = {125},
      ISBN = {978-0496-06725-1},
   MRCLASS = {Thesis},
  MRNUMBER = {2706488},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3147641},
}

@book {lawson-michelsohn,
    AUTHOR = {Lawson, H. B., Jr. and Michelsohn, M.-L.},
     TITLE = {Spin geometry},
    SERIES = {Princeton Mathematical Series},
    VOLUME = {38},
% PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {1989},
 %    PAGES = {xii+427},
      ISBN = {0-691-08542-0},
   MRCLASS = {53-02 (53A50 53C20 57R75 58G10)},
  MRNUMBER = {1031992},
MRREVIEWER = {N. J. Hitchin},
}

@article {lebedeva-petrunin,
    AUTHOR = {Lebedeva, N. and Petrunin, A.},
     TITLE = {Local characterization of polyhedral spaces},
   JOURNAL = {Geom. Dedicata},
  FJOURNAL = {Geometriae Dedicata},
    VOLUME = {179},
      YEAR = {2015},
     PAGES = {161--168},
      ISSN = {0046-5755},
   MRCLASS = {53C99 (05E45 52B70)},
  MRNUMBER = {3424662},
       DOI = {10.1007/s10711-015-0072-x},
       URL = {http://dx.doi.org/10.1007/s10711-015-0072-x},
}

@incollection{lobachevsky,
  title={Geometrische Untersuchungen zur Theorie der Parallellinien},
  author={Lobatschewsky, N. I.},
  year={1840},
addendum={[Translated  by G.~B. Halsted in \textit{The Theory of Parallels}, (2015).]},
language={german},
   hyphenation={german}
}

@article {pwz,
    AUTHOR = {Petersen, P. and Wilhelm, F. and Zhu, S.},
     TITLE = {Spaces on and beyond the boundary of existence},
   JOURNAL = {J. Geom. Anal.},
  FJOURNAL = {The Journal of Geometric Analysis},
    VOLUME = {5},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {419--426},
      ISSN = {1050-6926},
   MRCLASS = {53C23 (53C21)},
  MRNUMBER = {1360829},
MRREVIEWER = {Valery Marenich},
       DOI = {10.1007/BF02921805},
       URL = {http://dx.doi.org/10.1007/BF02921805},
}

@unpublished{matveyev,
author={Matveev, R.},
title={Surfaces with polyhedral metrics},
howpublished={International Mathematical Summer School for Students 2011},
address={Jacobs University, Bremen}
}

@article {menger,
    AUTHOR = {Menger, K.},
     TITLE = {Untersuchungen über allgemeine {M}etrik},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {100},
      YEAR = {1928},
    NUMBER = {1},
     PAGES = {75--163},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {Contributed Item},
  MRNUMBER = {1512479},
       DOI = {10.1007/BF01448840},
       URL = {http://dx.doi.org/10.1007/BF01448840},
language={german},
   hyphenation={german}
}

@article {panov-petrunin-ramification,
    AUTHOR = {Panov, D. and Petrunin, A.},
     TITLE = {Ramification conjecture and {H}irzebruch's property of line
              arrangements},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {152},
      YEAR = {2016},
    NUMBER = {12},
     PAGES = {2443--2460},
      ISSN = {0010-437X},
   MRCLASS = {53C23 (20F55 51K10 52C35 57N65)},
  MRNUMBER = {3594282},
       DOI = {10.1112/S0010437X16007648},
       URL = {http://dx.doi.org/10.1112/S0010437X16007648},
}

@article {petrunin-poly,
    AUTHOR = {Petrunin, A.},
     TITLE = {Polyhedral approximations of {R}iemannian manifolds},
   JOURNAL = {Turkish J. Math.},
  FJOURNAL = {Turkish Journal of Mathematics},
    VOLUME = {27},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {173--187},
      ISSN = {1300-0098},
   MRCLASS = {53C20},
  MRNUMBER = {1975337},
MRREVIEWER = {Igor Belegradek},
}

@article {petrunin-stadler:revisited,
    AUTHOR = {Petrunin, A. and Stadler, S.},
     TITLE = {Metric-minimizing surfaces revisited},
   JOURNAL = {Geom. Topol.},
  FJOURNAL = {Geometry \& Topology},
    VOLUME = {23},
      YEAR = {2019},
    NUMBER = {6},
     PAGES = {3111--3139},
      ISSN = {1465-3060},
   MRCLASS = {53C23 (30L05 53C43 53C45)},
  MRNUMBER = {4039186},
       DOI = {10.2140/gt.2019.23.3111},
       URL = {https://doi.org/10.2140/gt.2019.23.3111},
}

@article {reifenberg,
    AUTHOR = {Reifenberg, E. R.},
     TITLE = {Solution of the {P}lateau {P}roblem for {$m$}-dimensional
              surfaces of varying topological type},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {104},
      YEAR = {1960},
     PAGES = {1--92},
      ISSN = {0001-5962},
   MRCLASS = {49.00},
  MRNUMBER = {114145},
MRREVIEWER = {Wendell H. Fleming},
       DOI = {10.1007/BF02547186},
       URL = {https://doi.org/10.1007/BF02547186},
}

@article {short-wiest,
    AUTHOR = {Short, H. and Wiest, B.},
     TITLE = {Orderings of mapping class groups after {T}hurston},
   JOURNAL = {Enseign. Math. (2)},
  FJOURNAL = {L'Enseignement Math\'{e}matique. Revue Internationale. 2e S\'{e}rie},
    VOLUME = {46},
      YEAR = {2000},
    NUMBER = {3-4},
     PAGES = {279--312},
      ISSN = {0013-8584},
   MRCLASS = {57M07 (20F36 20F65)},
  MRNUMBER = {1805402},
MRREVIEWER = {Thomas Delzant},
}

@article {schoenhardt,
    AUTHOR = {Schönhardt, E.},
     TITLE = {Über die {Z}erlegung von {D}reieckspolyedern in
              {T}etraeder},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {98},
      YEAR = {1928},
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     CODEN = {MAANA},
   MRCLASS = {Contributed Item},
  MRNUMBER = {1512408},
       DOI = {10.1007/BF01451597},
       URL = {http://dx.doi.org/10.1007/BF01451597},
language={german},
   hyphenation={german}
}

@article {stadler-FM,
    AUTHOR = {Stadler, S.},
     TITLE = {The structure of minimal surfaces in {CAT}(0) spaces},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {23},
      YEAR = {2021},
    NUMBER = {11},
     PAGES = {3521--3554},
      ISSN = {1435-9855},
   MRCLASS = {Prelim},
  MRNUMBER = {4310811},
       DOI = {10.4171/jems/1075},
       URL = {https://doi.org/10.4171/jems/1075},
}

@article {vaaler,
    AUTHOR = {Vaaler, J.},
     TITLE = {A geometric inequality with applications to linear forms},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {83},
      YEAR = {1979},
    NUMBER = {2},
     PAGES = {543--553},
      ISSN = {0030-8730},
   MRCLASS = {52A40 (10E15)},
  MRNUMBER = {557952},
MRREVIEWER = {W. J. Firey},
       URL = {http://projecteuclid.org/euclid.pjm/1102784529},
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@article {witten,
    AUTHOR = {Witten, E.},
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   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {80},
      YEAR = {1981},
    NUMBER = {3},
     PAGES = {381--402},
      ISSN = {0010-3616},
     CODEN = {CMPHAY},
   MRCLASS = {83C99 (58G25)},
  MRNUMBER = {626707},
MRREVIEWER = {Andrzej Trautman},
       URL = {http://projecteuclid.org/euclid.cmp/1103919981},
}


@article {zakharov,
    AUTHOR = {Zakharov, D.},
     TITLE = {Acute sets},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
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    VOLUME = {61},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {212--217},
      ISSN = {0179-5376},
   MRCLASS = {52C10},
  MRNUMBER = {3925552},
MRREVIEWER = {Mehdi Makhul},
       DOI = {10.1007/s00454-017-9947-y},
       URL = {https://doi.org/10.1007/s00454-017-9947-y},
}


@article{zeghib,
  title={Subsystems of Anosov Systems},
  author={Zeghib, A.},
  journal={American Journal of Mathematics},
  VOLUME = {117},
  NUMBER = {6},
  pages={1431--1448},
  year={1995}
}
%check

%Web


@online{wilton,
author={Wilton, H.},
title={In Memoriam J. R. Stallings --- Topology of Finite Graphs},
url={https://ldtopology.wordpress.com/2008/12/01/}
}


%МО

@MISC {banakh,
    TITLE = {Running most of the time in a connected set},
    AUTHOR = {T. Banakh},
    HOWPUBLISHED = {MathOverflow},
  %  NOTE = {URL:https://mathoverflow.net/q/308172 (version: 2018-08-13)},
    URL = {https://mathoverflow.net/q/308172}
}


@MISC {ccriscitiello,
    TITLE = {Does there exist a real-valued function on the hyperbolic plane which has bounded hessian norm and unbounded gradient norm?},
    AUTHOR = {C. Criscitiello},
    HOWPUBLISHED = {MathOverflow},
    %NOTE = {URL:https://mathoverflow.net/q/358142 (version: 2020-04-21)},
    EPRINT = {https://mathoverflow.net/q/358142},
    URL = {https://mathoverflow.net/q/358142}
}

@online{zeb,
    TITLE = {Is it possible to capture a sphere in a knot?},
    AUTHOR = {Brady, Z. E.},
    HOWPUBLISHED = {MathOverflow},
    url = {http://mathoverflow.net/q/8091}
}

@online{rourke,
    TITLE = {Why is the half-torus rigid?},
    AUTHOR = {O'Rourke, J.},
    HOWPUBLISHED = {MathOverflow},
    url = {http://mathoverflow.net/q/77760}
}

@MISC {rourke-optic,
    TITLE = {Light rays bouncing in twisted tubes},
    AUTHOR = {O'Rourke, J.},
    HOWPUBLISHED = {MathOverflow},
   % NOTE = {URL:https://mathoverflow.net/q/70421 (version: 2017-03-10)},
    EPRINT = {https://mathoverflow.net/q/70421},
    URL = {https://mathoverflow.net/q/70421}
}

@online{two-disks,
    TITLE = {Two discs with no parallel tangent planes},
    AUTHOR = {Petrunin, A.},
    HOWPUBLISHED = {MathOverflow},
    url = {http://mathoverflow.net/q/17486}
}

@online{One-step,
    TITLE = {One-step problems in geometry},
    AUTHOR = {Petrunin, A.},
    HOWPUBLISHED = {MathOverflow},
    url = {http://mathoverflow.net/q/8247}
}

@online{ivanov,
    TITLE = {Diameter of $m$-fold cover},
    AUTHOR = {Ivanov, S.},
    HOWPUBLISHED = {MathOverflow},
    URL = {https://mathoverflow.net/q/16939}
}


@online{convex-hull,
    TITLE = {Convex hull in CAT(0)},
    AUTHOR = {Petrunin, A.},
    HOWPUBLISHED = {MathOverflow},
    URL = {https://mathoverflow.net/q/6627}
}

@MISC {petrunin-optic,
    TITLE = {Optic fibers after Joseph O'Rourke},
    AUTHOR = {Petrunin, A.},
    HOWPUBLISHED = {MathOverflow},
  %  NOTE = {URL:https://mathoverflow.net/q/77519 (version: 2017-04-13)},
    EPRINT = {https://mathoverflow.net/q/77519},
    URL = {https://mathoverflow.net/q/77519}
}

@MISC {petrunin-torus,
    TITLE = {Metrics on torus without closed contractible geodesics},
    AUTHOR = {Petrunin, A.},
    HOWPUBLISHED = {MathOverflow},
  %  NOTE = {URL:https://mathoverflow.net/q/358943 (version: 2020-05-20)},
    EPRINT = {https://mathoverflow.net/q/358943},
    URL = {https://mathoverflow.net/q/358943}
}

@MISC {petrunin-RPn,
    TITLE = {Normal curvature of Veronese embedding},
    AUTHOR = {A. Petrunin},
    HOWPUBLISHED = {MathOverflow},
   % NOTE = {URL:https://mathoverflow.net/q/445819 (version 2023-05-03)},
    EPRINT = {https://mathoverflow.net/q/445819},
    URL = {https://mathoverflow.net/q/445819}
}

@online{three-disks,
    TITLE = {A generalization of Cauchy's mean value theorem.},
    AUTHOR = {Pushkar, P.},
    HOWPUBLISHED = {MathOverflow},
    url = {http://mathoverflow.net/q/16335}
}

@online{cohen,
    TITLE = {Klee's trick --- more applications},
    AUTHOR = {Ramras, D.},
    HOWPUBLISHED = {MathOverflow},
    URL = {https://mathoverflow.net/q/273003}
}

@online{domotorp,
    TITLE = {The optimal constant in Vitali covering lemma},
    AUTHOR = {Dömötör, P.},
    HOWPUBLISHED = {MathOverflow},
    URL = {https://mathoverflow.net/q/116198}
}

@MISC {epsilon-delta,
    TITLE = {Open map $\DD^4\to \mathbb{S}^3$},
    AUTHOR = {$\varepsilon$-$\delta$},
    HOWPUBLISHED = {MathOverflow},
   % NOTE = {URL:https://mathoverflow.net/q/54568 (version: 2011-03-03)},
    EPRINT = {https://mathoverflow.net/q/54568},
    URL = {https://mathoverflow.net/q/54568}
}

@MISC {petrunin-guth,
    TITLE = {Status of Larry Guth's Sponge Problem},
    AUTHOR = {A. Petrunin},
    HOWPUBLISHED = {MathOverflow},
   % NOTE = {URL:https://mathoverflow.net/q/381669 (version: 2021-01-19)},
    EPRINT = {https://mathoverflow.net/q/381669},
    URL = {https://mathoverflow.net/q/381669}
}

@MISC {agol-braid,
    TITLE = {Braid group on 4 strands},
    AUTHOR = {I. Agol},
    HOWPUBLISHED = {MathOverflow},
    %NOTE = {URL:https://mathoverflow.net/q/307215 (version: 2018-07-31)},
    EPRINT = {https://mathoverflow.net/q/307215},
    URL = {https://mathoverflow.net/q/307215}
}

@book{AKP-invitation,
    AUTHOR = {S. Alexander and V. Kapovitch and A. Petrunin},
     TITLE = {An invitation to Alexandrov geometry: CAT(0) spaces },
   % SERIES = {SpringerBriefs in Mathematics},
% PUBLISHER = {Springer, Cham},
      YEAR = {2019},
     %PAGES = {xii+88},
      ISBN = {978-3-030-05311-6; 978-3-030-05312-3},
       DOI = {10.1007/978-3-030-05312-3},
       URL = {https://link.springer.com/book/10.1007/978-3-030-05312-3},
          MRCLASS = {53C23 (51F99 53C20 53C45 53C70)},
  MRNUMBER = {3930625},
       DOI = {10.1007/978-3-030-05312-3},
       URL = {https://doi.org/10.1007/978-3-030-05312-3},
}

%ArXiV

@misc{foote,
author={R. L. Foote},
title={Short curves on spheres},
note={Unpublished note},
year={1997 and 2008},
addendum={\textattachfile{lib/ShortCurves.pdf}
{\textcolor{blue}{(attached)}}}
}

@online{gui-li,
  doi = {10.48550/ARXIV.2208.03612},
 % url = {https://arxiv.org/abs/2208.03612},
  author = {Gui, C. and Li, Q.},
  keywords = {Analysis of PDEs (math.AP), FOS: Mathematics, FOS: Mathematics},  
  title = {Some geometric inequalities related to Liouville equation},  
  publisher = {arXiv},  
  year = {2022},  
  copyright = {arXiv.org perpetual, non-exclusive license},
      archivePrefix = "arXiv",
    primaryClass  = "math.AP",
    eprint        = "2208.03612"
}


@online{athreya-aulicino-hooper,
    title = {Platonic solids and high genus covers of lattice surfaces},
    author = {Athreya, Jayadev S. and Aulicino, David and Hooper, W. Patrick},
    year = {2018},
    archivePrefix = "arXiv",
    primaryClass  = "math.GT",
    eprint        = "1811.04131"
}

@online{ardoy,
    title={Cut and conjugate points of the exponential map, with applications},
    author={P. A. Ardoy},
    year={2014},
 archivePrefix = "arXiv",
     eprint        = "1411.3933",
     primaryClass  = "math.AP",
}

@incollection {duchesne,
    AUTHOR = {Duchesne, B.},
     TITLE = {Groups acting on spaces of non-positive curvature},
 BOOKTITLE = {Handbook of group actions. {V}ol. {III}},
    SERIES = {Adv. Lect. Math. (ALM)},
    VOLUME = {40},
     PAGES = {101--141},
 PUBLISHER = {Int. Press, Somerville, MA},
      YEAR = {2018},
   MRCLASS = {20F65 (20F67 53C23)},
  MRNUMBER = {3888618},
MRREVIEWER = {Loreno Heer},
}

@online{guzhvina,
   author={Guzhvina, G.},
   title={Gromov's pinching constant},
   archivePrefix = "arXiv",
     eprint        = "0804.0201",
     primaryClass  = "math.DG",
}

@online{hertz,
   author={Rodriguez Hertz, F.},
   title={On the geodesic flow of surfaces of nonpositive curvature},
   archivePrefix = "arXiv",
     eprint        = "0301010",
     primaryClass  = "math.DS",
}


@article {lange,
    AUTHOR = {Lange, C.},
     TITLE = {When is the underlying space of an orbifold a manifold?},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {372},
      YEAR = {2019},
    NUMBER = {4},
     PAGES = {2799--2828},
      ISSN = {0002-9947},
   MRCLASS = {57R18 (54B15)},
  MRNUMBER = {3988594},
MRREVIEWER = {Ryo Ohashi},
       DOI = {10.1090/tran/7687},
       URL = {https://doi.org/10.1090/tran/7687},
}

@incollection {naber,
    AUTHOR = {Naber, A.},
     TITLE = {Lecture notes on rectifiable {R}eifenberg for measures},
 BOOKTITLE = {Harmonic analysis and applications},
    SERIES = {IAS/Park City Math. Ser.},
    VOLUME = {27},
     PAGES = {289--345},
 %PUBLISHER = {Amer. Math. Soc., [Providence], RI},
      YEAR = {2020},
   MRCLASS = {28A75 (35R06)},
  MRNUMBER = {4249631},
}

@article {itoh-vilcu,
    AUTHOR = {Itoh, J. and Rouyer, J. and Vîlcu, C},
     TITLE = {Polyhedra with simple dense geodesics},
   JOURNAL = {Differential Geom. Appl.},
  FJOURNAL = {Differential Geometry and its Applications},
    VOLUME = {66},
      YEAR = {2019},
     PAGES = {242--252},
      ISSN = {0926-2245},
   MRCLASS = {53C22 (52B70 53C45)},
  MRNUMBER = {3983228},
MRREVIEWER = {Ivan Izmestiev},
       DOI = {10.1016/j.difgeo.2019.07.001},
       URL = {https://doi.org/10.1016/j.difgeo.2019.07.001},
}

@book{petrunin2021pigtikal,
      title={PIGTIKAL (puzzles in geometry that I know and love)}, 
      author={Petrunin, A.},
      eprint={0906.0290},
      archivePrefix={arXiv},
      primaryClass={math.HO}
}

%???update
@online{petrunin2021pure,
      title={Pure metric geometry: introductory lectures}, 
      author={Petrunin, A.},
      year={2021},
      eprint={2007.09846},
      archivePrefix={arXiv},
      primaryClass={math.MG}
}

@article {petrunin-self-crossing-geodesics,
    AUTHOR = {Petrunin, A.},
     TITLE = {Self-crossing geodesics},
   JOURNAL = {Math. Intelligencer},
  FJOURNAL = {The Mathematical Intelligencer},
    VOLUME = {43},
      YEAR = {2021},
    NUMBER = {4},
     PAGES = {16--18},
       DOI = {10.1007/s00283-021-10127-0},
       URL = {https://doi.org/10.1007/s00283-018-9795-5https://doi.org/},
}

@online{karlsson,
author={Karlsson, A.},
title={Ergodic theorems for noncommuting random products},
URL = {http://www.unige.ch/math/folks/karlsson/}
}

@online{grizzly,
author={\texttt{grizzly}},
title={Улучшено (?) решение Эрдёша по остроугольным треугольникам},
URL ={http://dxdy.ru/post1222167.html},
language={russian},
hyphenation={russian},
addendum={\textattachfile{lib/post1222167.html}
{\textcolor{blue}{(attached)}}}
}


@online{sanderson,
        title = {The most unexpected answer to a counting puzzle},
        date = {2019-01-13},
        organization = {YouTube},
        author = {G. Sanderson},
        url = {https://www.youtube.com/watch?v=HEfHFsfGXjs},
    }

@article {baykur-vanhornmorris,
    AUTHOR = {Baykur, R. İ. and Van Horn-Morris, J.},
     TITLE = {Topological complexity of symplectic 4-manifolds and {S}tein
              fillings},
   JOURNAL = {J. Symplectic Geom.},
  FJOURNAL = {The Journal of Symplectic Geometry},
    VOLUME = {14},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {171--202},
      ISSN = {1527-5256},
   MRCLASS = {57R17},
  MRNUMBER = {3523254},
MRREVIEWER = {Burak Ozbagci},
       DOI = {10.4310/JSG.2016.v14.n1.a7},
       URL = {https://doi.org/10.4310/JSG.2016.v14.n1.a7},
}

@article {baykur-monden-vanhornmorris,
    AUTHOR = {Baykur, R. İ. and Monden, N. and Van Horn-Morris,
              J.},
     TITLE = {Positive factorizations of mapping classes},
   JOURNAL = {Algebr. Geom. Topol.},
  FJOURNAL = {Algebraic \& Geometric Topology},
    VOLUME = {17},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {1527--1555},
      ISSN = {1472-2747},
   MRCLASS = {20F65 (53D35 57R17)},
  MRNUMBER = {3677934},
MRREVIEWER = {Thomas Koberda},
       DOI = {10.2140/agt.2017.17.1527},
       URL = {https://doi.org/10.2140/agt.2017.17.1527},
}

%???update
@online{zamora,
author={Zamora, S.},
title={Fundamental groups and group presentations with bounded relator lengths},
archivePrefix = "arXiv",
eprint        = "1807.08827",
primaryClass  = "math.MG"
}


@online{problems,
title={Задачи},
url={https://www.problems.ru/}
}

@misc{bochi,
      title={On the approximation of convex bodies by ellipses with respect to the symmetric difference metric}, 
      author={J. Bochi},
      year={2017},
      eprint={1702.03808v1},
      archivePrefix={arXiv},
      primaryClass={math.MG},
      addendum={[Appendix A. Structures induced by the symmetric difference metric]}
}
%do not update! -- there is no appendix in the published version

@online{petrunin-stadler-Fary-Milnor,
  author = {Petrunin, A. and Stadler, S.},
  title = {Six proofs of the Fáry--Milnor theorem},
    year = {2022},
    archivePrefix = "arXiv",
     eprint        = "2203.15137",
     primaryClass  = "math.HO"
}

@online{gromov2022,
author = {Gromov, M.},
title = {Isometric immersions with controlled curvatures},
year={2022},
archivePrefix = "arXiv",
eprint        = "2212.06122",
primaryClass  = "math.DG",
publisher = {arXiv},
}

@online{gromov2021,
author = {Gromov, M.},
title = {Scalar curvature, injectivity radius and immersions with small second fundamental forms},
year={2022},
archivePrefix = "arXiv",
eprint        = "2203.14013",
primaryClass  = "math.DG",
publisher = {arXiv},
}

@online{petrunin2023,
      title={Gromov's torii are optimal}, 
      author={Anton Petrunin},
      year={2023},
      eprint={2304.00886},
      archivePrefix={arXiv},
      primaryClass={math.DG}
}

@misc{vjimc,
  title = {Vojtěch Jarník International Mathematical Competition},
  howpublished = {\url{https://vjimc.osu.cz/}},
}

  
@online{lebedeva-petrunin-curvature,
    title={Curvature tensor of smoothable Alexandrov spaces},
    author={Lebedeva, N. and Petrunin, A.},
    year={2022},
 archivePrefix = "arXiv",
     eprint        = "2202.13420",
     primaryClass  = "math.DG",
}
%???update

@article {petrunin-zamora:moon,
    AUTHOR = {Petrunin, A. and Zamora Barrera, S.},
     TITLE = {Moon in a puddle and the four-vertex theorem},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {129},
      YEAR = {2022},
    NUMBER = {5},
     PAGES = {475--479},
       DOI = {10.1080/00029890.2022.2041355},
}

@article {troubetzkoy,
    AUTHOR = {Troubetzkoy, S.},
     TITLE = {Vertex to vertex geodesics on platonic solids},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {130},
      YEAR = {2023},
    NUMBER = {4},
     PAGES = {379--382},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {51M20 (37C83 52B10)},
  MRNUMBER = {4567425},
       DOI = {10.1080/00029890.2023.2172298},
       URL = {https://doi.org/10.1080/00029890.2023.2172298},
}