| 伪黎曼流形中的紧致类空子流形 |
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| 引用本文： | SUN He-jun,WU Bao-qiang1.Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China, 2.Department of Mathematics,Xuzhou Normal University,Xuzhou 221116,China. 伪黎曼流形中的紧致类空子流形[J]. 数学季刊, 2004, 19(1): 6-15 |
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| 作者姓名： | SUN He-jun WU Bao-qiang1.Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China 2.Department of Mathematics Xuzhou Normal University Xuzhou 221116 China |
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| 作者单位： | [1]AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China; [2]DepartmentofMathematics,XuzhouNormalUniversity,Xuzhou221116,China） |
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| 基金项目： | Supported by the NNSF of China(10071080) |
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| 摘 要： | We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds Np(n+p). Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel second fundamental form in Np(n+p) and some other ambient spaces. We obtain some distribution theorems for the square norm of the second fundamental form.
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| 关 键 词： | 微分几何 子流形 黎曼几何 超曲面 |
Compact Space-like Submanifolds in Pseudo-Riemann Manifold |
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| SUNHe-jun WUBao-qiang. Compact Space-like Submanifolds in Pseudo-Riemann Manifold[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 6-15 |
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| Authors: | SUNHe-jun WUBao-qiang |
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| Abstract: | We first establish a integral inequality for compact maximal space-like subman-ifolds in pseudo-Riemannian manifolds N^np p. Then, we investigate compact space-like sub-manifolds and hupersurfaces with parallel second fundamental form in N^np p and some other N^np pambient spaces. We obtain some distribution theorems for the square norm of the secondfundamental form. |
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| Keywords: | pseudo-Riemannian manifold submanifold hypersurface parallel second fundamental form space-like |
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