| 局部对称黎曼流形中具有常平均曲率的完备超曲面 |
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| 引用本文： | 龚光俊. 局部对称黎曼流形中具有常平均曲率的完备超曲面[J]. 安庆师范学院学报(自然科学版), 2011, 17(3): 15-18,34 |
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| 作者姓名： | 龚光俊 |
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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基金重点项目 |
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| 摘 要： | 本文研究了局部对称黎曼流形中具有常平均曲率的完备超曲面,利用邱成桐的广义极大值原理得到两个重要的内蕴刚性定理。
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| 关 键 词： | 局部对称 黎曼流形 平均曲率 超曲面 |
Complete Hypersurfaces with Constant Mean Curvature in a Locally Symmetric Riemannian Manifold |
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| GONG Guang-jun. Complete Hypersurfaces with Constant Mean Curvature in a Locally Symmetric Riemannian Manifold[J]. Journal of Anqing Teachers College(Natural Science Edition), 2011, 17(3): 15-18,34 |
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| Authors: | GONG Guang-jun |
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| Affiliation: | GONG Guang-jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper,we study complete hypersurfaces with constant mean curvature in a locally symmetric Riemannian manifold.Two important Rigidity theorems are given by making use of the generalized maximal principle of Qiu. |
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| Keywords: | locally symmetric Riemannian manifolds mean curvature hypersurface |
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