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
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)