de Sitter空间S1^n1＋1（c）中标准数量曲率为c的类空超曲面  

Space-like Hypersurface With Constant Normalized Scalar Curvature c in a de Sitter Space S_1~(n+1) (C)

作　　者：宣满友 

机构地区：绍兴文理学院数学系，浙江绍兴312000

出　　处：《绍兴文理学院学报（自然科学版）》2003年第9期1-3,24,共4页Journal of Shaoxing College of Arts and Sciences

摘　　要：得到de Sitter空间S^n1+1(c)中标准数量曲率为常数c的类空超曲面的一个定理：设M^n是de Sitter空间S^n1+1(c)中标准数量曲率r与研S^n1+1(c)的截面曲率c相等的n维(n>2)紧致的类空超曲面，则M^n是全测地超曲面。In this paper the author obtains a result for a compact space - like hypersurface with constant scalar cur- vature c in a de Sitter space S_1~(n+1)(c):Let M~n be an n - dimensional compact space - like hypersurface (n>2) in a de Sitter space S_1~(n+1)(c),if the normalized scalar curvature r of Mn is equal to the sectional curvature c of S_1~(n+1)(c), the n M~n is totally geodesic.

关 键 词：DESITTER空间 标准数量曲率 类空超曲面 截面曲率 常数量曲率 全测地超曲面 微分几何 

分 类 号：O186.1[理学—数学]