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.

引用

页码：475 / 482

页数：7

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