Advanced Studies in Pure Mathematics

Infinitesimal Bishop–Gromov condition for Alexandrov spaces

Kazuhiro Kuwae and Takashi Shioya

Full-text: Open access

Abstract

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

Article information

Source
Probabilistic Approach to Geometry, M. Kotani, M. Hino and T. Kumagai, eds. (Tokyo: Mathematical Society of Japan, 2010), 293-302

Dates
Received: 9 January 2009
Revised: 13 March 2009
First available in Project Euclid: 24 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543086325

Digital Object Identifier
doi:10.2969/aspm/05710293

Mathematical Reviews number (MathSciNet)
MR2648266

Zentralblatt MATH identifier
1210.53041

Subjects
Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20] 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces

Keywords
Ricci curvature Bishop–Gromov inequality

Citation

Kuwae, Kazuhiro; Shioya, Takashi. Infinitesimal Bishop–Gromov condition for Alexandrov spaces. Probabilistic Approach to Geometry, 293--302, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/05710293. https://projecteuclid.org/euclid.aspm/1543086325


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