关于局部对称共形平坦黎曼流形中的紧致极小子流形  

The Compact Minimal Submanifolds in a Locally Symmetric Conformally Flat Riemannian Manifold

作　　者：徐仙发[1] 

机构地区：[1]丽水学院幼儿师范学院,浙江松阳323400

出　　处：《咸阳师范学院学报》2011年第4期16-19,共4页Journal of Xianyang Normal University

摘　　要：讨论局部对称共形平坦黎曼流形中的紧致极小子流形,得到了这类子流形第二基本形式模长平方关于外围空间Ricci曲率的Pinching定量,推广了相应的结果。The compact minamal submanifold of a locally symmetric and comformally flat Riemannian manifold are studied, and obtain the Pinching theorems about this manifolds with the square of the length of the second fundamemtal form σ and outside space＇ s Ricci curvatu, the results in this paper generalizes the correspondence theorems in bibliography.

关 键 词：局部对称 共形平坦 极小子流形 全测地 

分 类 号：O186.12[理学—数学]