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伪黎曼空间型中的2-调和类空子流形

独力 张娟

数学杂志2013,Vol.33Issue(1):147-152,6.
数学杂志2013,Vol.33Issue(1):147-152,6.

伪黎曼空间型中的2-调和类空子流形

BIHARMONIC SPACE-LIKE SUBMANIFOLDS IN PSEUDO-RIEMANNIAN SPACE FORMS

独力 1张娟1

作者信息

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摘要

Abstract

In this paper, we study the biharmonic space-like submanifolds in the pseudo-Riemannian space form. By using moving-frame method and Hopf lemma, we prove that any pseudo-umbilical biharmonic space-like submanifold Mn is maximal, and show that if Mn is compact, then it is totally geodesic, which generalizes results in [5, 7].

关键词

2-调和类空子流形/截曲率/伪脐

Key words

biharmonic space-like submanifold/ sectional curvature/ pseudo-umbilical

分类

数理科学

引用本文复制引用

独力,张娟..伪黎曼空间型中的2-调和类空子流形[J].数学杂志,2013,33(1):147-152,6.

基金项目

国家自然科学基金资助(40633014 ()

71061012) ()

青年人才工程资助计划(2012-2017). (2012-2017)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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