数学杂志Issue(4):927-932,6.
一般伪黎曼流形中的2-调和类空子流形
BIHARMONIC SPACE-LIKE SUBMANIFOLDS IN PSEUDO-RIEMANNIAN MANIFOLD
摘要
Abstract
In this paper, we study biharmonic space-like submanifolds in pseudo-Riemannian manifold. By using moving-frame method and Hopf lemma, we give several sufficient conditions which make biharmonic submanifold turn into maximal submnifold. We obtain integral inequality of Simons’type and improve the known results.关键词
伪黎曼流形/2-调和类空子流形/Simons型积分不等式/全测地Key words
pseudo-Riemannian manifold/biharmonic space-like submanifolds/integral inequality of Simons’type/totally geodesic分类
数理科学引用本文复制引用
周俊东,宋卫东,姚云飞..一般伪黎曼流形中的2-调和类空子流形[J].数学杂志,2015,(4):927-932,6.基金项目
安徽省教育厅自然科学研究基金资助(KJ2013Z263 ()
KJ2012B134 ()
KJ2011B125 ()
KJ2010A125) ()
国家特色专业基金资助(TS11496) (TS11496)
安徽高校省级自然科学研究项目(2014KJ002) (2014KJ002)