摘要
首先得到一个推广的Simons积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形的一个拼挤定理,推广了Li的定理.
This paper firstly works out a generalized Simons inequality and then deduces a pinc hing theorem of minimal sub manifolds in a conformally flat Riemannian manifold by using it. And this theorem generalizes Li's theorem.
出处
《云南师范大学学报(自然科学版)》
2013年第4期29-32,共4页
Journal of Yunnan Normal University:Natural Sciences Edition
基金
贵州省教育厅一般资助项目(黔教科2009062)
关键词
共形平坦黎曼流形
紧致极小子流形
RICCI曲率
拼挤
Conformally flat Riemannian manifold
Compact minimal sub-manifold
Ricci eurva ture
Pinching