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具有平行平均曲率向量的伪脐子流形
引用本文:温焕明.具有平行平均曲率向量的伪脐子流形[J].莆田高等专科学校学报,2012(5):19-22.
作者姓名:温焕明
作者单位:闽南理工学院信息管理系,福建石狮362700
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盯和Ricci曲率的两个拼挤定理。

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

Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector
WEN Huan-ming.Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector[J].Journal of Putian College,2012(5):19-22.
Authors:WEN Huan-ming
Institution:WEN Huan-ming ( Department of Information and Management, Minnan University of Science and Technology, Shishi Fujian 362700, China )
Abstract: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.
Keywords:locally symmetry  parallel mean curvature vector  Ricci curvature  totally umbilical submanifolds  pseudo-umbilical submanifolds
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