Rigidity Theorems of Spacelike Submanifolds in de Sitter Spaces  

作　　者：CHEN Wei GUO Zhen 

机构地区：[1].School of Science, Kunming University of Science and Technology, Kunming 650093, China [2]School of Mathematics, Yunnan Normal University, Kunming 650092, China

出　　处：《Chinese Quarterly Journal of Mathematics》2010年第3期360-365,共6页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（10561004）

摘　　要：In this paper,we study the compact spacelike submanifolds in the de Sitter space,under the assumption that the normalized mean curvature vector is parallel in the normal bundle.Using the generalized Cheng-Yau＇s differential operator,we obtain some general rigidity theorems which naturally generalize some existing results.

关 键 词：de Sitter space spacelike submanifold scalar curvature differential operator 

分 类 号：O186.16[理学—数学]