On the volume growth of Alexandrov spaces with nonnegative curvature

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Jiao, Zhenhua^1,2 

[1] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

关键词: Volume growth;    Alexandrov spaces;    Nonnegative Ricci curvature;   

DOI  :  10.1016/j.jmaa.2012.11.029

来源: Elsevier

【 摘 要 】

Recently, Zhang and Zhu introduced a new definition for Ricci curvature bounded below on Alexandrov spaces. In this paper, we give a volume growth lower bound estimate of Alexandrov spaces with nonnegative Ricci curvature (in the sense of Zhang-Zhu), which extends Yau's result from Riemannian manifolds to Alexandrov spaces. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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