文献类型：期刊文献

英文题名：A Cheeger finiteness theorem for Finsler manifolds

作者：Zhao, Wei[1,2];Shen, Yibing[3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[3]Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

年份：2016

卷号：433

期号：2

起止页码：1690

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000362048700053)】；

基金：This work was supported by National Natural Science Foundation of China (No. 11501202), Tian Yuan Foundation (No. 11426108) and the Fundamental Research Funds for the Central Universities.

语种：英文

外文关键词：Finsler manifold; Finiteness theorem; Injectivity radius; Center of mass

摘要：In this paper, we establish a Cheeger finiteness theorem for Berwald manifolds. Moreover, a Cheeger type estimate on injectivity radii for Finsler manifolds is obtained and the existence of the center of mass of a Berwald manifold is proved. (C) 2015 Elsevier Inc. All rights reserved.