The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature  

作　　者：WANG Lin-feng 

机构地区：[1]Department of Mathematics, East China Normal University, Shanghai 200062, China [2] Department of Mathematics, Nantong University, Nantong 226007, China

出　　处：《Chinese Quarterly Journal of Mathematics》2006年第3期342-350,共9页数学季刊（英文版）

基　　金：Supported by the Directing Research Subject of Jiangsu Education Bureau(03103146)

摘　　要：We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.

关 键 词：constant curvature parallel mean curvature vector fields global umbilic points globally geodesic submanifolds 

分 类 号：O186.12[理学—数学]