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%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/
%% Created for Vitali Kapovitch at 2022-10-21 14:05:00 -0400
%% Saved with string encoding Unicode (UTF-8)
@book{Brezis-book,
author = {Br\'{e}zis, H.},
date-added = {2022-10-21 14:04:34 -0400},
date-modified = {2022-10-21 14:05:00 -0400},
mrclass = {47H05},
mrnumber = {0348562},
mrreviewer = {Bruce Calvert},
pages = {vi+183},
publisher = {North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York},
series = {North-Holland Mathematics Studies, No. 5},
title = {Op\'{e}rateurs maximaux monotones et semi-groupes de contractions dans les espaces de {H}ilbert},
year = {1973}}
@article{cheeger-colding-alm-rigidity,
author = {Cheeger, J. and Colding, T.},
date-added = {2022-01-12 17:39:29 -0500},
date-modified = {2022-01-12 17:39:51 -0500},
doi = {10.2307/2118589},
fjournal = {Annals of Mathematics. Second Series},
issn = {0003-486X},
journal = {Ann. of Math. (2)},
mrclass = {53C21 (53C20 53C23)},
mrnumber = {1405949},
mrreviewer = {Joseph E. Borzellino},
number = {1},
pages = {189--237},
title = {Lower bounds on {R}icci curvature and the almost rigidity of warped products},
url = {https://doi-org.myaccess.library.utoronto.ca/10.2307/2118589},
volume = {144},
year = {1996},
bdsk-url-1 = {https://doi-org.myaccess.library.utoronto.ca/10.2307/2118589},
bdsk-url-2 = {https://doi.org/10.2307/2118589}}
@misc{gigli2013splitting,
archiveprefix = {arXiv},
author = {N. Gigli},
date-modified = {2022-01-12 17:37:28 -0500},
eprint = {1302.5555},
title = {The splitting theorem in non-smooth context},
year = {2013}}
@article{gigli-splitting-overview,
author = {Gigli, N.},
date-added = {2022-01-12 17:16:12 -0500},
date-modified = {2022-01-12 17:16:32 -0500},
doi = {10.2478/agms-2014-0006},
fjournal = {Analysis and Geometry in Metric Spaces},
journal = {Anal. Geom. Metr. Spaces},
mrclass = {53C23 (53C21)},
mrnumber = {3210895},
mrreviewer = {Yu Ding},
number = {1},
pages = {169--213},
title = {An overview of the proof of the splitting theorem in spaces with non-negative {R}icci curvature},
url = {https://doi-org.myaccess.library.utoronto.ca/10.2478/agms-2014-0006},
volume = {2},
year = {2014},
bdsk-url-1 = {https://doi-org.myaccess.library.utoronto.ca/10.2478/agms-2014-0006},
bdsk-url-2 = {https://doi.org/10.2478/agms-2014-0006}}
@book{alexandrov-comparison,
author = {Александров, А. Д.},
hyphenation = {russian},
language = {russian},
title = {Внутренняя геометрия выпуклых поверхностей},
year = {1948}}
@article{alexandrov:strong-angle,
author = {Александров, А. Д.},
hyphenation = {russian},
journal = {Тр. МИАН СССР},
language = {russian},
pages = {5--23},
title = {Одна теорема о треугольниках в метрическом пространстве и некоторые ее приложения},
volume = {38},
year = {1951}}
@article{alexandrov-1941,
author = {Александров, А. Д.},
hyphenation = {russian},
journal = {Матем. сб.},
language = {russian},
number = {1-2},
pages = {15--65},
title = {Существование выпуклого многогранника и выпуклой поверхности с заданной метрикой},
volume = {11(53)},
year = {1942}}
@article{alexandrov-1941convex,
author = {Александров, А. Д.},
booktitle = {Докл. АН СССР},
hyphenation = {russian},
language = {russian},
number = {7},
pages = {467--470},
title = {Внутренняя геометрия произвольной выпуклой поверхности},
volume = {32},
year = {1941}}
@article{alexandrov-1946,
author = {Александров, А. Д.},
booktitle = {Докл. АН СССР},
hyphenation = {russian},
language = {russian},
number = {2},
pages = {99--102},
title = {О склеивании выпуклых поверхностей},
volume = {54},
year = {1946}}
@article{berestovskii,
author = {Берестовский, В. Н.},
hyphenation = {russian},
issn = {0002-3264},
journal = {Докл. АН СССР},
language = {russian},
mrclass = {51K99 (51M20 54E35)},
mrnumber = {688238},
mrreviewer = {H. H. Wicke},
number = {2},
pages = {273--277},
title = {Задача Борсука о метризации полиэдра},
volume = {268},
year = {1983}}
@article{karmanova,
author = {М.~Б.~Карманова},
hyphenation = {russian},
journal = {Вестн. НГУ. Сер. матем., мех., информ.},
language = {russian},
number = {4},
pages = {50--69},
title = {Метрическая теорема Радемахера и формула площади для липшицевых отображений со значениями в метрическом пространстве},
volume = {6},
year = {2006}}
@article{liberman,
author = {Либерман, И. М.},
hyphenation = {russian},
journal = {Докл. АН СССР},
language = {russian},
number = {2},
pages = {310--312},
title = {Геодезические линии на выпуклых поверхностях},
volume = {32},
year = {1941}}
@article{milka-line,
author = {Милка, А. Д.},
hyphenation = {russian},
journal = {Укр. геометр, сб.},
language = {russian},
pages = {43--48},
title = {Метрическое строение одного класса пространств, содержащих прямые линии},
volume = {4},
year = {1967}}
@incollection{reshetnyak:2D,
author = {Ю. Г. Решетняк},
booktitle = {Геометрия~--~4},
hyphenation = {russian},
language = {russian},
mrclass = {53C45 (53C20)},
pages = {7--189},
series = {Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления},
title = {Двумерные многообразия ограниченной кривизны},
volume = {70},
year = {1989}}
@article{toponogov-globalization+splitting,
author = {Топоногов, В. А.},
hyphenation = {russian},
journal = {Успехи математических наук},
language = {russian},
mrnumber = {0103510},
number = {1 (85)},
pages = {87--130},
title = {Римановы пространства кривизны, ограниченной снизу},
volume = {14},
year = {1959}}
@article{sharafutdinov,
author = {Шарафутдинов, В. А.},
hyphenation = {russian},
journal = {Сибирский математический журнал},
language = {russian},
number = {4},
pages = {915--925},
title = {Теорема Погорелова --- Клингенберга для многообразий, гомеоморфных $\mathbb{R}^n$},
volume = {18},
year = {1977}}
@article{shefel-3D,
author = {Шефель, С. З.},
hyphenation = {russian},
journal = {Сибирский математический журнал},
language = {russian},
number = {6},
pages = {1382--1396},
title = {О внутренней геометрии седловых поверхностей},
volume = {5},
year = {1964}}
@book{ambrosio-gigli-savare,
author = {Ambrosio, L. and Gigli, N. and Savar\'{e}, G.},
edition = {Second},
isbn = {978-3-7643-8721-1},
mrclass = {49-02 (28A33 35K55 35K90 49Q20 60B05)},
mrnumber = {2401600},
mrreviewer = {Pietro Celada},
series = {Lectures in Mathematics ETH Z\"{u}rich},
title = {Gradient flows in metric spaces and in the space of probability measures},
year = {2008}}
@incollection{berestovskii-nikolaev,
author = {Berestovskij, V. N. and Nikolaev, I. G.},
booktitle = {Geometry, {IV}},
doi = {10.1007/978-3-662-02897-1_2},
mrclass = {53C20},
mrnumber = {1263965},
pages = {165--243, 245--250},
series = {Encyclopaedia Math. Sci.},
title = {Multidimensional generalized {R}iemannian spaces},
url = {https://doi.org/10.1007/978-3-662-02897-1_2},
volume = {70},
year = {1993},
bdsk-url-1 = {https://doi.org/10.1007/978-3-662-02897-1_2}}
@article{burago-ferleger-kononenko1998-1,
author = {Burago, D. and Ferleger, S. and Kononenko, A.},
doi = {10.1017/S014338579811564X},
fjournal = {Ergodic Theory and Dynamical Systems},
issn = {0143-3857},
journal = {Ergodic Theory Dynam. Systems},
mrclass = {58F11 (58F20)},
mrnumber = {1619558},
mrreviewer = {Nikolai Chernov},
number = {2},
pages = {303--319},
title = {A geometric approach to semi-dispersing billiards},
url = {https://doi.org/10.1017/S014338579811564X},
volume = {18},
year = {1998},
bdsk-url-1 = {https://doi.org/10.1017/S014338579811564X}}
@article{burago-ferleger-kononenko1998-2,
author = {Burago, D. and Ferleger, S. and Kononenko, A.},
doi = {10.2307/120962},
fjournal = {Annals of Mathematics. Second Series},
issn = {0003-486X},
journal = {Ann. of Math. (2)},
mrclass = {58F11 (58F99 70F10 70F35)},
mrnumber = {1637663},
mrreviewer = {Nikolai Chernov},
number = {3},
pages = {695--708},
title = {Uniform estimates on the number of collisions in semi-dispersing billiards},
url = {https://doi.org/10.2307/120962},
volume = {147},
year = {1998},
bdsk-url-1 = {https://doi.org/10.2307/120962}}
@article{burago-ferleger-kononenko1998-3,
author = {Burago, D. and Ferleger, S. and Kononenko, A.},
doi = {10.1017/S0143385798108246},
fjournal = {Ergodic Theory and Dynamical Systems},
issn = {0143-3857},
journal = {Ergodic Theory Dynam. Systems},
mrclass = {58F17 (58F22)},
mrnumber = {1645377},
mrreviewer = {Valery Covachev},
number = {4},
pages = {791--805},
title = {Topological entropy of semi-dispersing billiards},
url = {https://doi.org/10.1017/S0143385798108246},
volume = {18},
year = {1998},
bdsk-url-1 = {https://doi.org/10.1017/S0143385798108246}}
@article{burago-ferleger-kononenko1998-4,
author = {Burago, D. and Ferleger, S. and Kononenko, A.},
doi = {10.4310/AJM.1998.v2.n1.a4},
fjournal = {Asian Journal of Mathematics},
issn = {1093-6106},
journal = {Asian J. Math.},
mrclass = {37D50},
mrnumber = {1656555},
mrreviewer = {Valery Covachev},
number = {1},
pages = {141--152},
title = {Unfoldings and global bounds on the number of collisions for generalized semi-dispersing billiards},
url = {https://doi.org/10.4310/AJM.1998.v2.n1.a4},
volume = {2},
year = {1998},
bdsk-url-1 = {https://doi.org/10.4310/AJM.1998.v2.n1.a4}}
@incollection{burago-ferleger-kononenko2000,
author = {Burago, D. and Ferleger, S. and Kononenko, A.},
booktitle = {Hard ball systems and the {L}orentz gas},
doi = {10.1007/978-3-662-04062-1_2},
mrclass = {37D50 (82B05)},
mrnumber = {1805324},
mrreviewer = {Roberto Markarian},
pages = {9--27},
series = {Encyclopaedia Math. Sci.},
title = {A geometric approach to semi-dispersing billiards},
url = {https://doi.org/10.1007/978-3-662-04062-1_2},
volume = {101},
year = {2000},
bdsk-url-1 = {https://doi.org/10.1007/978-3-662-04062-1_2}}
@article{burago-ferleger-kononenko2001,
author = {Burago, D. and Ferleger, S. and Kleiner, B. and Kononenko, A.},
doi = {10.1090/S0002-9939-01-05554-X},
fjournal = {Proceedings of the American Mathematical Society},
issn = {0002-9939},
journal = {Proc. Amer. Math. Soc.},
mrclass = {57M50 (53C20 57N10)},
mrnumber = {1707510},
mrreviewer = {Igor Belegradek},
number = {5},
pages = {1493--1498},
title = {Gluing copies of a {$3$}-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold},
url = {https://doi.org/10.1090/S0002-9939-01-05554-X},
volume = {129},
year = {2001},
bdsk-url-1 = {https://doi.org/10.1090/S0002-9939-01-05554-X}}
@article{cohn-vossen_line,
author = {Cohn-Vossen, S.},
hyphenation = {german},
journal = {Mat. Sb.},
language = {german},
number = {2},
title = {Totalkr{\"u}mmung und geod{\"a}tische Linien auf einfachzusammenh{\"a}ngenden offenen vollst{\"a}ndigen Fl{\"a}chenst{\"u}cken},
volume = {1(43)},
year = {1936}}
@article{mangoldt,
author = {von Mangoldt, H.},
doi = {10.1515/crll.1881.91.23},
fjournal = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's Journal]},
hyphenation = {german},
issn = {0075-4102},
journal = {J. Reine Angew. Math.},
language = {german},
mrclass = {DML},
mrnumber = {1579879},
pages = {23--53},
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