Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Lebedeva, Nina"'
Autor:
Lebedeva, Nina, Petrunin, Anton
Written for the book "Mathematicians from Saint Petersburg and their theorems".
Comment: english+russian
Comment: english+russian
Externí odkaz:
http://arxiv.org/abs/2212.10479
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Sib. Math. J. 64, 624--628 (2023)
Graph comparison is a certain type of condition on metric space encoded by a finite graph. We show that any nontrivial graph comparison implies one of Alexandrov's comparisons. The proof gives a complete description of graphs with trivial graph compa
Externí odkaz:
http://arxiv.org/abs/2212.08016
Autor:
Lebedeva, Nina, Petrunin, Anton
We show that trees and their products meet octahedron comparison.
Comment: 4 pages, 4 figures
Comment: 4 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2212.06445
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Algebra i Analiz 35:3 (2023), 52--56
A metric space is said to be all-set-homogeneous if any of its partial isometries can be extended to a genuine isometry. We give a classification of a certain subclass of all-set-homogeneous length spaces.
Comment: English+Russian, 4+4 pages, 1+
Comment: English+Russian, 4+4 pages, 1+
Externí odkaz:
http://arxiv.org/abs/2211.09671
Autor:
Lebedeva, Nina, Petrunin, Anton
We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2202.13420
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Int. Math. Res. Not. IMRN(2024), no 5, 3601--3624
We give an if-and-only-if condition on a five-point metric spaces that admit embeddings into nonnegatively curved Riemannian manifolds.
Comment: 19 pages, 37 figures
Comment: 19 pages, 37 figures
Externí odkaz:
http://arxiv.org/abs/2202.13049
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Anal. Geom. Metr. Spaces 9 (2021), no. 1, 160--166
We give another proof of Toyoda's theorem that describes 5-point subpaces in CAT(0) length spaces
Comment: 9 pages, 8 figures
Comment: 9 pages, 8 figures
Externí odkaz:
http://arxiv.org/abs/2009.09522
Autor:
Lebedeva, Nina, Nepechiy, Artem
We show that locally homogeneous $\mathcal{C}^0$-Riemannian manifolds are smooth.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2007.11917
Publikováno v:
Int. Math. Res. Not. IMRN. 2021 (2021), 8623-8656
We show that bounded self-contracted curves are rectifiable in metric spaces with weak lower curvature bound in a sense we introduce in this article. This class of spaces is wide and includes, for example, finite-dimensional Alexandrov spaces of curv
Externí odkaz:
http://arxiv.org/abs/1902.01594
Autor:
Lebedeva, Nina
We show that if a Riemannian manifold satisfies (3,3)-bipolar comparisons and has an open flat subset then it is flat. The same holds for a version of MTW where the perpendicularity is dropped. In particular we get that the (3,3)-bipolar comparison i
Externí odkaz:
http://arxiv.org/abs/1807.02708