Complete Riemannian manifolds with pointwise pinched curvature

被引：0

作者：

Bing-Long Chen

Xi-Ping Zhu

机构：

[1] Department of Mathematics,

[2] Zhongshan University,undefined

[3] Guangzhou,undefined

[4] P.R. China,undefined

来源：

Inventiones mathematicae | 2000年 / 140卷

关键词：

Manifold; Riemannian Manifold; Curvature Operator; Ricci Curvature; Complete Riemannian Manifold;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An analogous Bonnet-Myers theorem is obtained for a complete and positively curved n-dimensional (n≥3) Riemannian manifold Mn. We prove that if n≥4 and the curvature operator of Mn is pointwise pinched, or if n=3 and the Ricci curvature of M3 is pointwise pinched, then Mn is compact.

引用

页码：423 / 452

页数：29