安庆师范学院学报：自然科学版2011，Vol.17Issue(4)：21-25,5.
局部对称伪黎曼流形中常数量曲率的完备类空子流形
Complete Space-like Submanifolds with Constant Scalar Curvature in a Locally Symmetric Pesudo-Riemannian Manifold
张佳佳1
作者信息
- 1. 安徽师范大学数学计算机科学学院,安徽芜湖241000
- 折叠
摘要
Abstract
In this paper,we study the complete space-like submanifolds Mn with constant scalar curvature in a locally symmetric pesudo-Riemannian manifold Nn＋pp.We discuss the pinching problem on the square of the length of the second fundamental form S mainly by making use of the generalized maximal principle of Yau and self-adjoint operator,and obtain a rigidity theorem for Mn being totally geodesic.关键词
局部对称/伪黎曼流形/常数量曲率/全测地Key words
locally symmetric/pesudo-Riemannian manifold/constant scalar curvature/cotally geodesic分类
数学引用本文复制引用
张佳佳..局部对称伪黎曼流形中常数量曲率的完备类空子流形[J].安庆师范学院学报：自然科学版,2011,17(4):21-25,5.
