| 摘要: |
| 本文研究了一般伪黎曼流形中的2-调和类空子流形的有关性质.利用活动标架法和Hopf原理,给出了2-调和子流形是极大的几个充分条件,得到一个Simons型积分不等式并推广了相关结果. |
| 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 |
| DOI： |
| 分类号:O186.12 |
| 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);安徽高校省级自然科学研究项目(2014KJ002). |
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| BIHARMONIC SPACE-LIKE SUBMANIFOLDS IN PSEUDO-RIEMANNIAN MANIFOLD |
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ZHOU Jun-dong1, SONG Wei-dong2, YAO Yun-fei1
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1.Department of Mathematics, Fuyang Normal College, Fuyang 236037, China;2.Department of Mathematics, Anhui Normal University, Wuhu 241000, China
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| 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. |
| Key words: pseudo-Riemannian manifold biharmonic space-like submanifolds integral inequality of Simons'type totally geodesic |
