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.
出处
《莆田学院学报》
2012年第5期19-22,共4页
Journal of putian University
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
locally symmetry
parallel mean curvature vector
Ricci curvature
totally umbilical submanifolds
pseudo-umbilical submanifolds