Geometric rigidity theorem for submanifolds with positive curvature

被引：0
|
作者：
Xu H. [1 ]
Han W. [1 ]
机构：
[1] Center of Mathematical Sciences, Zhejiang University, Hangzhou
来源：
Applied Mathematics-A Journal of Chinese Universities | 2005年 / 20卷 / 4期
基金：
中国国家自然科学基金;
关键词：
Geometric rigidity; Mean curvature; Sectional curvature; Submanifolds;
D O I：
10.1007/s11766-005-0027-3
中图分类号：
学科分类号：
摘要：
A geometric rigidity theorem for submanifolds with parallel mean curvature and positive curvature in a space form is proved. It is a generalization of the famous rigidity theorems due to S. T. Yau and others. © 2005, Springer Verlag. All rights reserved.
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页码：475 / 482
页数：7
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