局部对称空间中的伪脐子流形  

On the pseudo-umbilical submanifolds of a locally symmetric space

作　　者：丁顺汉 

机构地区：[1]丽水师专数学系,浙江丽水323000

出　　处：《商丘师范学院学报》2004年第2期69-72,共4页Journal of Shangqiu Normal University

摘　　要：讨论了局部对称完备黎曼流形中的紧致伪脐子流形,且具有平行平均曲率向量场.得到了这类子流形成为全脐子流形及其余维数减小的几个拼挤定理,全面改进了文[5]的结果.In this paper,We discussed the compact pseudo-umbilical submanifolds M^n whit parallel mean curvature vector in a locally symmetric Riemannian manifold N^(n+p),and get some pinching theorems that M^n be an totally umbilical submanifold and reduction of the codimension,which improve the results obtained by Song Weidong.

关 键 词：局部对称空间 伪脐子流形 全脐子流形 拼挤定理 平行平均曲率向量场 黎曼流形 

分 类 号：O186.12[理学—数学]