关于局部对称空间中的紧致极小子流形  

The Compact Minimal Submanifolds in Locally Symmetric Space

作　　者：徐仙发[1] 纪永强[2] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]湖州师范学院理学院,浙江湖州313000

出　　处：《温州师范学院学报》2006年第2期10-14,共5页Journal of Wenzhou Teachers College(Philosophy and Social Science Edition)

摘　　要：设Nn+p是截面曲率KN满足1/2<δ≤KN≤1的n+P维局部对称完备的δ-Pinching黎曼流形．Mn是Nn+p的紧致极小子流形．讨论了这类子流形关于第二基本形式模长平方σ及Ricci曲率有关的Pinching定理．Let N^n＋P be a n＋p-dimensional locally symmetric complete Riemannian manifold with sectional curvature KN satisfies 1/2〈δ≤KN≤1 and N^n＋P be an n-dimensinal compact Minimal submanifold in N^n＋p, In this paper, the authors discuss the Pinching theorem about this manifolds with the square of the length of the second fundamemtal form a and Ricci curvature.

关 键 词：局部对称 极小子流形 全测地 

分 类 号：O186.12[理学—数学]