Five-Point Toponogov Theorem-Reference-Cited by-同舟云学术

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Five-Point Toponogov Theorem

Published:2023-03-31 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Lebedeva Nina¹²,Petrunin Anton³

Affiliation:

1. Saint Petersburg State University, 7/9 Universitetskaya nab., St Petersburg , 199034, Russia

2. St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences , 27 Fontanka nab., St. Petersburg, 191023, Russia

3. Math Department, Penn State University, University Park , PA 16802, USA

Abstract

AbstractWe give an if-and-only-if condition on five-point metric spaces that admit isometric embeddings into complete nonnegatively curved Riemannian manifolds.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnad027/49718204/rnad027.pdf

Reference14 articles.

1. Alexandrov meets Kirszbraun;Alexander,2011

2. Alexandrov geometry: foundations;Alexander,2022

3. Modern Birkhäuser Classics;Gromov

4. Kirszbraun’s theorem and metric spaces of bounded curvature;Lang;Geom. Funct. Anal.,1997

5. 5-point $\mathrm \{CAT\}(0)$ spaces after Tetsu Toyoda;Lebedeva;Anal. Geom. Metr. Spaces,2021

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Graph Comparison Meets Alexandrov;Siberian Mathematical Journal;2023-05

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