Infinitesimal Bishop–Gromov condition for Alexandrov spaces

VOL. 57 | 2010 Infinitesimal Bishop–Gromov condition for Alexandrov spaces

Chapter Author(s) Kazuhiro Kuwae, Takashi Shioya

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Adv. Stud. Pure Math., 2010: 293-302 (2010) DOI: 10.2969/aspm/05710293

Abstract

We prove the infinitesimal version of Bishop–Gromov volume comparison condition for Alexandrov spaces.

Published: 1 January 2010

First available in Project Euclid: 24 November 2018

MathSciNet: MR2648266

Digital Object Identifier: 10.2969/aspm/05710293

Subjects:

Primary: 53C20 , 53C21 , 53C23

Keywords: Bishop–Gromov inequality , Ricci curvature

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Vol. 57 • 1 January 2010

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Mathematical Society of Japan