de Sitter空间中具有平行单位平均曲率向量的完备类空子流形

J4 ›› 2011, Vol. 46 ›› Issue (12): 83-87.

de Sitter空间中具有平行单位平均曲率向量的完备类空子流形

齐邦交

天水师范学院数学与统计学院, 甘肃天水 741001

收稿日期:2010-09-28 出版日期:2011-12-20 发布日期:2011-12-24
作者简介:齐邦交(1956- ), 男, 副教授, 理学学士，主要研究方向为微分几何. Email: qibangjiao@163.com

Complete spacelike submanifolds in de Sitter spaces with parallel normalized mean curvature vector

QI Bang-jiao

School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu, China

Received:2010-09-28 Online:2011-12-20 Published:2011-12-24

摘要/Abstract

摘要：

利用Yau的广义极大值原理, 给出了de Sitter空间中具有平行单位平均曲率向量的完备类空子流形Mn是全脐子流形的充分条件。

关键词: de Sitter 空间; 类空子流形; 全脐子流形; 平行单位平均曲率向量

Abstract:

By using Yau’s general maximal principle, sufficient conditions for complete space-like submanifolds with parallel normalized mean curvature vector in a de Sitter spaces Sn+pp(c) are obtained.

Key words: de Sitter spaces; space-like submanifolds; totally umbilical; parallel normalized mean curvature vector

齐邦交. de Sitter空间中具有平行单位平均曲率向量的完备类空子流形[J]. J4, 2011, 46(12): 83-87.

QI Bang-jiao. Complete spacelike submanifolds in de Sitter spaces with parallel normalized mean curvature vector[J]. J4, 2011, 46(12): 83-87.

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