A Cheeger finiteness theorem for Finsler manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Zhao, Wei¹  Shen, Yibing² 

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

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

DOI  :  10.1016/j.jmaa.2015.08.067

来源: Elsevier

【 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.

【 授权许可】

Free