de Sitter空间中常曲率的类空超曲面  

Space-like hypersurfaces with constant scalar curvature in de Sitter spaces

作　　者：汪悦[1] 

机构地区：[1]浙江大学数学系,杭州310028

出　　处：《吉林大学学报（理学版）》2004年第4期494-498,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10271106).

摘　　要：研究deSitter空间中具有常数量曲率的类空超曲面,将Cheng Yau的自共轭算子□作用在对称张量T上,得到了这类超曲面关于第二基本形式模长平方的一个拼挤定理,加强了已有的相应结果.The space-like hypersurfaces with constant scalar curvature in a de Sitter space were studied and a pinching theorem on the square of the norm of the second fundamental form was obtained. This theorem has improved the results obtained by LI Hai-zhong who firstly studied the rigidity problem for a hypersurface with constant scalar curvature by introducing a self-adjoint second order differential operator.

关 键 词：SITTER空间 类空超曲面 共轭算子 常数量曲率 第二基本形式模长平方 拼挤定理 张量 对称 

分 类 号：N02[自然科学总论—科学技术哲学] O186[理学—数学]