[PDF][PDF] Semiconcave functions in Alexandrov's geometry
A Petrunin - arXiv preprint arXiv:1304.0292, 2013 - arxiv.org
Semiconcave functions in Alexandrov's geometry Page 1 arXiv:1304.0292v2 [math.DG] 1 Sep
2015 Semiconcave functions in Alexandrov’s geometry Anton Petrunin∗ Abstract The following …
2015 Semiconcave functions in Alexandrov’s geometry Anton Petrunin∗ Abstract The following …
Two-dimensional manifolds of bounded curvature
YG Reshetnyak - Geometry IV: Non-regular Riemannian Geometry, 1993 - Springer
The theory of two-dimensional manifolds of bounded curvature is a generalization of two-
dimensional Riemannian geometry. Formally a two-dimensional manifold of bounded …
dimensional Riemannian geometry. Formally a two-dimensional manifold of bounded …
[PDF][PDF] Quasigeodesics and gradient curves in Alexandrov spaces
G Perelman, A Petrunin - preprint, 1994 - anton-petrunin.github.io
1. A comparison theorem for complete Riemannian manifolds with sectional curvatures≥ k
says that distance functions in such manifolds are more concave than in the model space Sk …
says that distance functions in such manifolds are more concave than in the model space Sk …
On the surfaces representable as difference of convex functions
AD Aleksandrov - Сибирские электронные математические известия, 2012 - elibrary.ru
ON THE SURFACES REPRESENTABLE AS DIFFERENCE OF CONVEX FUNCTIONS
КОРЗИНА ПОИСК НАВИГАТОР СЕССИЯ КОНТАКТЫ ИНФОРМАЦИЯ О ПУБЛИКАЦИИ …
КОРЗИНА ПОИСК НАВИГАТОР СЕССИЯ КОНТАКТЫ ИНФОРМАЦИЯ О ПУБЛИКАЦИИ …
Alexandrov geometry: foundations
S Alexander, V Kapovitch, A Petrunin - arXiv preprint arXiv:1903.08539, 2019 - arxiv.org
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov
axioms replace certain equalities with inequalities. Depending on the signs of the …
axioms replace certain equalities with inequalities. Depending on the signs of the …
Isothermal Coordinates on Manifolds of Bounded Curvature I
YG Reshetnyak - Reshetnyak's Theory of Subharmonic Metrics, 2023 - Springer
The notion of two-dimensional manifold of bounded curvature was introduced by Alexandrov
in [,–]. Two-dimensional Riemannian manifolds are particular cases of manifolds of bounded …
in [,–]. Two-dimensional Riemannian manifolds are particular cases of manifolds of bounded …
A geometric approach to semi-dispersing billiards (Survey)
D Burago, S Ferleger, A Kononenko - Ergodic Theory and Dynamical …, 1998 - cambridge.org
We summarize the results of several recent papers, together with a few new results, which
rely on a connection between semi-dispersing billiards and non-regular Riemannian …
rely on a connection between semi-dispersing billiards and non-regular Riemannian …
Good coverings of Alexandrov spaces
A Mitsuishi, T Yamaguchi - Transactions of the American Mathematical …, 2019 - ams.org
In the present paper, we define a notion of good coverings of Alexandrov spaces with
curvature bounded below, and we prove that every Alexandrov space admits such a good …
curvature bounded below, and we prove that every Alexandrov space admits such a good …
A geometric approach to semi-dispersing billiards
LA Bunimovich, D Burago, N Chernov… - Hard ball systems and …, 2000 - Springer
This section contains a survey of a few results obtained by a particular realization of V.
Arnold's old idea that hard ball models of statistical physics can be “considered as the limit …
Arnold's old idea that hard ball models of statistical physics can be “considered as the limit …
[图书][B] Quasigeodesics in multidimensional Alexandrov spaces
A Petrunin - 1995 - search.proquest.com
Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature
bounded from below and prove that classical theorems of Alexandrov also hold for this case …
bounded from below and prove that classical theorems of Alexandrov also hold for this case …