具有平行平均曲率向量的伪脐子流形  

Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector

作　　者：温焕明[1] 

机构地区：[1]闽南理工学院信息管理系,福建石狮362700

出　　处：《莆田学院学报》2012年第5期19-22,共4页Journal of putian University

摘　　要：研究局部对称空间中具有平行平均曲率向量的n+p维伪脐子流形,得到这类子流形关于第二基本形式模长的平方σ和Ricci曲率的两个拼挤定理。The n＋p-dimensional compact pseudo-umbilical submanifolds with parallel mean curvature in locally symmetric space were studied. Two pinching theorems on the square of the second fundamental module length of this kind and Ricci curvature of submanifolds were obtained.

关 键 词：局部对称 平行平均曲率 RICCI曲率 全脐子流形 伪脐子流形 

分 类 号：O186.12[理学—数学]