Complete  Space-like  Submanifolds  in  a   de Sitter Space  with  Parallel  Mean Curvature Vector

数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 19-24.

Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector

Xianyang Teachers College,Xianyang,712000,P.R.China

收稿日期:1995-02-28 出版日期:1996-12-30 发布日期:2024-12-17

Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector

Xianyang Teachers College,Xianyang,712000,P.R.China

Received:1995-02-28 Online:1996-12-30 Published:2024-12-17

摘要/Abstract

摘要： Complete space-like submanifolds in a de Sitter Space with parallel mean curvature vec- tor are investigated,a main Theorem forM to be totally umbilical is obtained.

关键词: space-like submanifold, de Sitter space, totally umbilical

Abstract: Complete space-like submanifolds in a de Sitter Space with parallel mean curvature vec- tor are investigated,a main Theorem forM to be totally umbilical is obtained.

Key words: space-like submanifold, de Sitter space, totally umbilical

中图分类号:

O177

舒世昌 . Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector[J]. 数学季刊, 1996, 11(4): 19-24.

Shu Shichang. Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 19-24.

[1]	黄荣培, 廖蔡生, 商东虎. Anti-de Sitte:空间H³₁中的广义弹性曲线[J]. 数学季刊, 2011, 26(2): 311-316.
[2]	陈伟, 郭震. de Sitter空间中类空子流形的刚性定理[J]. 数学季刊, 2010, 25(3): 360-365.

Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector

Complete Space-like Submanifolds in a de Sitter Space with Parallel Mean Curvature Vector

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