OPEN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE RICCI CURVATURE AND LARGE VOLUME GROWTH

被引：4
|
作者：
Zhang, Yuntao [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 11期
关键词：
Ricci curvature; finite topological type; volume growth; THEOREM;
D O I：
10.1090/proc12787
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the topology of complete noncompact Riemannian manifolds with asymptotically nonnegative Ricci curvature and large volume growth. We prove that they have finite topological types under some curvature decay and volume growth conditions. We also generalize it to the manifolds with kth asymptotically nonnegative Ricci curvature by using extensions of Abresch-Gromoll's excess function estimate.
引用
收藏
页码：4913 / 4923
页数：11
相关论文
共 50 条
12345