局部对称空间中具有平行中曲率向量的伪脐子流形  

Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space

作　　者：李海锋[1] 胡红蕾[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《咸阳师范学院学报》2006年第4期7-10,共4页Journal of Xianyang Normal University

摘　　要：设Nn+p是截面曲率KN满足1/2<δ<KN<1的n+p维局部对称完备的δ-Pinching黎曼流形。Mn是Nn+p的紧致伪脐子流形。本文讨论了这类子流形关于第二基本形式模长的平方、截面曲率及Ricci曲率有关的Pinching定理。Letbe a n ＋p-dimensional locally symmetric complete Riemannian manifold with sectional curvaturesatisfiesand be an n-dimensinal compact Pseudo-Umbilical submanifold in .In this paper, we discussed the Pinching theorem about this manifolds with, Rijij curvature and Ricci curvature.

关 键 词：局部对称 伪脐子流形 全脐子流形 

分 类 号：O186.12[理学—数学]