The manifolds with nonnegative Ricci curvature and collapsing volume

被引：1
|
作者：
Zhan, Huashui [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 06期
关键词：
Riemannian manifold; nonnegative Ricci curvature; finite topological type; collapsing volume;
D O I：
10.1090/S0002-9939-07-08742-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M be a complete noncompact n-manifold with collapsing volume and Ric >= 0. The paper proves that M is of finite topological type under some restrictions on volume growth.
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页码：1923 / 1927
页数：5
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