应用数学2004,Vol.17Issue(2):289-294,6.
Minkowski空间中带超平面边界的紧致类空超曲面
Compact Spacelike Hypersurfaces with Hyperplanar Boundary in Minkowski Space-time
摘要
Abstract
In this paper,we study the relations between a compact spacelike hypersurface with hyperplanar boundary in the (n + 1)- dimensional Minkowski space-time Ln+1 being totally umbilical and its hyperplanar boundary in a fixed hyperplane π of L(n+1) being totally umbilical under certain conditions. We give the sufficient conditions for such hypersurface and its hyperplanar boundary to be totally umbilical in their respective ambients.关键词
Minkowski空间/紧致类空超曲面/超平面边界/全脐Key words
Minkowski space-time/Compact spacelike hypersurfaces/Hyperplanar boundary/Totally umbilical分类
数理科学引用本文复制引用
徐森林,寿乐丽..Minkowski空间中带超平面边界的紧致类空超曲面[J].应用数学,2004,17(2):289-294,6.基金项目
Supported by NNSFC(10371047) (10371047)