| 关于局部对称共形平坦空间中具有常数量曲率的子流形 |
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| 引用本文： | 宋卫东,刘敏.关于局部对称共形平坦空间中具有常数量曲率的子流形[J].数学物理学报(A辑),2010,30(4):1102-1110. |
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| 作者姓名： | 宋卫东 刘敏 |
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| 作者单位： | 安徽师范大学教学系,安徽芜湖,241000 |
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| 基金项目： | 安徽省教育厅自然科学研究重点项目 |
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| 摘 要： | 该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形,证明了这类子流形的某些内蕴刚性定理.
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| 关 键 词： | 局部对称 共形平坦 数量曲率 子流形 全脐 |
| 收稿时间： | 2008-11-28 |
| 修稿时间： | 2009-10-09 |
On Submanifolds with Constant Scalar Curvature in a Locally Symmetric and Conformally Flat Space |
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| SONG Wei-Dong,LIU Min.On Submanifolds with Constant Scalar Curvature in a Locally Symmetric and Conformally Flat Space[J].Acta Mathematica Scientia,2010,30(4):1102-1110. |
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| Authors: | SONG Wei-Dong LIU Min |
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| Institution: | Department of Mathematics, Anhui Normal University, Anhui Wuhu 241000 |
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| Abstract: | In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems. |
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| Keywords: | Locally symmetriczz Conformally flatzz Scalar curvaturezz Submanifoldzz Umbilicalzz |
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