莆田学院学报
莆田學院學報
보전학원학보
JOURNAL OF PUTIAN UNIVERISTY
2012年
5期
19-22
,共4页
局部对称%平行平均曲率%Ricci曲率%全脐子流形%伪脐子流形
跼部對稱%平行平均麯率%Ricci麯率%全臍子流形%偽臍子流形
국부대칭%평행평균곡솔%Ricci곡솔%전제자류형%위제자류형
locally symmetry%parallel mean curvature vector%Ricci curvature%totally umbilical submanifolds%pseudo-umbilical submanifolds
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。
研究跼部對稱空間中具有平行平均麯率嚮量的n＋p維偽臍子流形，得到這類子流形關于第二基本形式模長的平方盯和Ricci麯率的兩箇拼擠定理。
연구국부대칭공간중구유평행평균곡솔향량적n＋p유위제자류형，득도저류자류형관우제이기본형식모장적평방정화Ricci곡솔적량개병제정리。
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.
