5-Point CAT(0) Spaces after Tetsu Toyoda

Author:

Lebedeva Nina1,Petrunin Anton2

Affiliation:

1. Saint Petersburg State University , Saint Petersburg , Russia and Steklov Institute of Mathematics , Saint Petersburg , Russia

2. Mathematics Department , Pennsylvania State University , University Park, USA

Abstract

Abstract We give another proof of Toyoda’s theorem that describes 5-point subspaces in CAT(0) length spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Reference8 articles.

1. [1] А. Д. Милка. Выпуклые гиперповерхности в псевдоевклидовом пространстве. Докл. АН СССР, 284(6):1314–1316, 1985.

2. [2] S. Alexander, V. Kapovitch, and A. Petrunin. Alexandrov meets Kirszbraun. In Proceedings of the Gökova Geometry-Topology Conference 2010, pages 88–109. Int. Press, Somerville, MA, 2011.

3. [3] S. Alexander, V. Kapovitch, and A. Petrunin. An invitation to Alexandrov geometry. SpringerBriefs in Mathematics. CAT(0) spaces.

4. [4] S. Alexander, V. Kapovitch, and A. Petrunin. Alexandrov geometry: preliminary version no. 1, 2019.

5. [5] N. Lebedeva, A. Petrunin, and V. Zolotov. Bipolar comparison. Geom. Funct. Anal., 29(1):258–282, 2019.

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