Open Access
VOL. 55 | 2009 Upper curvature bounds and singularities
Chapter Author(s) Takao Yamaguchi
Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose
Adv. Stud. Pure Math., 2009: 161-171 (2009) DOI: 10.2969/aspm/05510161

Abstract

The purpose of this note is to describe recent development on the study of the local structure of singular spaces with curvature bounded above, due to Lychak and Nagano[16], [17] for the characterization of topological manifolds, and due to Kleiner, Nagano, Shioya and Yamaguchi [15] for the general characterization of 2-dimensional spaces.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1185.53041
MathSciNet: MR2463496

Digital Object Identifier: 10.2969/aspm/05510161

Subjects:
Primary: 53C20 , 53C23

Rights: Copyright © 2009 Mathematical Society of Japan

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