Myers' type theorem with the Bakry-Emery Ricci tensor

被引：20
|
作者：
Wu, Jia-Yong [1 ]
机构：
[1] Shanghai Maritime Univ, Dept Math, 1550 Haigang Ave, Shanghai 201306, Peoples R China
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2018年 / 54卷 / 04期
基金：
上海市自然科学基金;
关键词：
Bakry-Emery Ricci curvature; Ricci soliton; Myers' theorem; COMPACTNESS; MANIFOLDS; SOLITONS;
D O I：
10.1007/s10455-018-9613-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove a new Myers' type diameter estimate on a complete connected Reimannian manifold which admits a bounded vector field such that the Bakry-Emery Ricci tensor has a positive lower bound. The result is sharper than previous Myers' type results. The proof uses the generalized mean curvature comparison applied to the excess function instead of the classical second variation of geodesics.
引用
收藏
页码：541 / 549
页数：9
相关论文
共 50 条
12345