| 局部对称黎曼流形中某类超曲面的刚性定理 |
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| 引用本文： | 华义平,宋卫东.局部对称黎曼流形中某类超曲面的刚性定理[J].吉林大学学报(理学版),2009,47(6):1125-1129. |
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| 作者姓名： | 华义平 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： | 安徽省教育厅自然科学重点项目基金 |
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| 摘 要： | 讨论局部对称黎曼流形中Cheng-Yau算子□的自伴性, 并应用该算子研究局部对称空间中的紧致超曲面, 获得了一个积分不等式及一些刚性定理.
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| 关 键 词： | 局部对称 超曲面 自伴算子 数量曲率 全脐 |
| 收稿时间： | 2009-01-07 |
Rigidity Theorems for Some Hypersurfaces in a Locally Symmetric Manifold |
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| HUA Yi-ping,SONG Wei-dong.Rigidity Theorems for Some Hypersurfaces in a Locally Symmetric Manifold[J].Journal of Jilin University: Sci Ed,2009,47(6):1125-1129. |
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| Authors: | HUA Yi-ping SONG Wei-dong |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui Province, China |
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| Abstract: | The authors discussed the Cheng-Yau's self-adjoint operator □ in a locally symmetric Riemannian manifold, and applied this operator to investigating some compact hypersurfaces, obtaining a integral inequality and some rigidity theorems. |
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| Keywords: | locally symmetric hypersurfaces self-adjoint operator scalar curvature totally umbilical |
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