TWO GENERALIZATIONS OF CHEEGER-GROMOLL SPLITTING THEOREM VIA BAKRY-EMERY RICCI CURVATURE

被引：74

作者：

Fang, Fuquan ^{[1
]}

Li, Xiang-Dong ^{[2
,3
]}

Zhang, Zhenlei ^{[1
]}

机构：

[1] Capital Normal Univ, Dept Math, Beijing, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Univ Toulouse 3, Inst Math, F-31062 Toulouse 9, France

来源：

ANNALES DE L INSTITUT FOURIER | 2009年 / 59卷 / 02期

关键词：

Busemann function; splitting theorem; Bakry-Emery Ricci curvature; SOLITONS;

D O I：

10.5802/aif.2440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Emery Ricci curvature on complete Riemannian manifolds.

引用

页码：563 / 573

页数：11

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