Compact Space-like Submanifolds in Pseudo-Riemann Manifold  

作　　者：SUNHe-jun WUBao-qiang 

机构地区：[1]AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China [2]DepartmentofMathematics,XuzhouNormalUniversity,Xuzhou221116,China）

出　　处：《Chinese Quarterly Journal of Mathematics》2004年第1期6-15,共10页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10071080)

摘　　要：We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds Np(n+p). Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel second fundamental form in Np(n+p) and some other ambient spaces. We obtain some distribution theorems for the square norm of the second fundamental form.

关 键 词：pseudo-Riemannian manifold SUBMANIFOLD HYPERSURFACE parallel second fundamental form space-like 

分 类 号：O186.16[理学—数学]