局部对称空间中具有平行平均曲率向量的子流形

局部对称空间中具有平行平均曲率向量的子流形

何丹

浙江大学数学系, 杭州 310028

收稿日期:2002-09-20 修回日期:1900-01-01 出版日期:2003-04-26 发布日期:2003-04-26
通讯作者: 何丹

Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces

HE Dan

Department of Mathematics, Zhejiang University, Hangzhou 310028, China

Received:2002-09-20 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
Contact: HE Dan

摘要/Abstract

摘要： 研究局部对称空间中具有平行平均曲率向量的紧致子流形，得到这类子流形的第二基本形式模长平方的一个拼挤定理，推广了已有文献的一些结果.

关键词: 局部对称, 平行平均曲率向量, 全脐点

Abstract: The present paper deals with the pinching problems on the compact subm anifolds with a parallel mean curvature vector in a local symmetric space and a pinching theorem on the square of the second fundamental module length of this k ind of submanifolds is obtained and two known results of Song Wei-dong and Ouya ng Chong-zhen have been generallized.

Key words: local symmetry, parallel mean curvature vector, toally umbilical

中图分类号:

O186

何丹. 局部对称空间中具有平行平均曲率向量的子流形[J]. J4, 2003, 41(02): 147-151.

HE Dan. Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces[J]. J4, 2003, 41(02): 147-151.

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