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.
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
