On Intrinsic Rigidity for Submanifolds with Constant Scalar Curvature in Space Forms  

作　　者：陈伟 郭震 

机构地区：[1]Department of Mathematics Kunming University of Science and Technology [2]Department of Mathematics Yunnan Normal University

出　　处：《Northeastern Mathematical Journal》2007年第3期200-214,共15页东北数学（英文版）

基　　金：The NNSF(10561004)of China.

摘　　要：Under the assumption that the normalized mean curvature vector is parallel in the normal bundle, by using the generalized ChengYau＇s self-adjoint differential operator, here we obtain some rigidity results for compact submanifolds with constant scalar curvature and higher codimension in the space forms.Under the assumption that the normalized mean curvature vector is parallel in the normal bundle, by using the generalized ChengYau＇s self-adjoint differential operator, here we obtain some rigidity results for compact submanifolds with constant scalar curvature and higher codimension in the space forms.

关 键 词：space form scalar curvature differential operator RIGIDITY 

分 类 号：O186.16[理学—数学]