| 局部对称伪Riemann流形中的紧致极大类时子流形 |
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| 引用本文： | 李影,宋卫东.局部对称伪Riemann流形中的紧致极大类时子流形[J].吉林大学学报(理学版),2015,53(3):457-460. |
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| 作者姓名： | 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 241003 |
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| 基金项目： | 国家自然科学基金，安徽省教育厅自然科学重点项目 |
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| 摘 要： | 利用活动标架法,得到了局部对称伪Riemann流形中极大类时子流形的一个Simons型积分不等式,以及该子流形成为全测地类时子流形的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： | 伪Riemann流形 局部对称 极大类时子流形 全测地类时子流形 |
| 收稿时间： | 2014-09-15 |
Maximum Timelike Submanifold in a Locally Symmetric Pseudo-Riemannian Manifold |
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| LI Ying
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SONG Weidong.Maximum Timelike Submanifold in a Locally Symmetric Pseudo-Riemannian Manifold[J].Journal of Jilin University: Sci Ed,2015,53(3):457-460. |
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| Authors: | LI Ying SONG Weidong |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China |
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| Abstract: | Based on the moving frames, an integral inequality about maximal timelike submanifold was obtained in the locally symmetric pseudo Riemannian manifold and a pinching theorem about the squared norm of the second fundamental form for the compact maximal timelike submanifold was gived in locally symmetricpseudo Riemannian manifold. |
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| Keywords: | pseudo-Riemannian manifold locally symmetric maximum timelike submanifold totally geodesic timelike submanifold |
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