局部对称共形平坦黎曼流形中伪脐子流形  

On pseudo-umbilical submanifolds in a locally symmetric conformally flat riemannian manifold

作　　者：梅春亮[1] 张马彪[1] 

机构地区：[1]丽水学院数学系,浙江丽水323000

出　　处：《商丘师范学院学报》2006年第5期36-39,共4页Journal of Shangqiu Normal University

基　　金：浙江省自然科学基金资助项目(M130069)

摘　　要：研究了局部对称共形平坦黎曼流形中紧致的伪脐子流形,给出了一个Simons型积分不等式.将[1,2]中的积分不等式推广到局部对称共形平坦黎曼流形中的伪脐子流形.In this paper, we discussed the compact speudo - umbilical submanifolds in a locally symmetric conformally flat Riemannian manifold. We give an integral inequality of simons＇ trpe. The results of[1,2] were generatized to pseudo umbilical submanilolds a locally symmetric conformally flat riemannian manilod.

关 键 词：局部对称 共形平坦 伪脐子流形 Simons型积分不等式 

分 类 号：O186[理学—数学]