| 局部对称伪黎曼流形中的2-调和类时子流形 |
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| 引用本文： | 何超,李影,宋卫东.局部对称伪黎曼流形中的2-调和类时子流形[J].山东大学学报(理学版),2016,51(10):54-58. |
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| 作者姓名： | 何超 李影 宋卫东 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000 |
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| 基金项目： | 安徽师范大学研究生科研创新与实践项目(2015cxsj108zd) |
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| 摘 要： | 利用活动标架法,研究了局部对称伪黎曼流形中的2-调和类时子流形,得到了这类子流形的Simons型积分不等式以及关于其第二基本形式模长平方的拼挤定理。
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| 关 键 词： | 极大类时 2-调和类时子流形 局部对称 伪黎曼流形 |
| 收稿时间： | 2015-10-20 |
On the 2-harmonic timelike submanifolds in locally symmetric pseudo-riemannian manifolds |
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| HE Chao,LI Ying,SONG Wei-dong.On the 2-harmonic timelike submanifolds in locally symmetric pseudo-riemannian manifolds[J].Journal of Shandong University,2016,51(10):54-58. |
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| Authors: | HE Chao LI Ying SONG Wei-dong |
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| Institution: | School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China |
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| Abstract: | Based on the moving frames, the 2-harmonic timelike submanifolds in locally symmetric pseudo-Riemannian manifolds is studied. Also, an integral inequality of Simonss type and a pinching theorem about the squared norm of the second fundamental form in this submanifolds are obtained. |
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| Keywords: | locally symmetric 2-harmonic timelike submanifold maximun timelike pseudo-Riemannian manifold |
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