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Minkowski空间中带超平面边界的紧致类空超曲面

徐森林 寿乐丽

应用数学2004,Vol.17Issue(2):289-294,6.
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

徐森林 1寿乐丽1

作者信息

  • 1. 中国科学技术大学数学系,安徽,合肥,230026
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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