| de Sitter空间中常曲率的类空超曲面 |
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| 引用本文： | 汪悦.de Sitter空间中常曲率的类空超曲面[J].吉林大学学报(理学版),2004,42(4):494-498. |
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| 作者姓名： | 汪悦 |
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| 作者单位： | 浙江大学数学系， 杭州 310028 |
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| 基金项目： | 国家自然科学基金(批准号:10271106). |
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| 摘 要： | 研究de Sitter空间中具有常数量曲率的类空超曲面， 将Cheng-Yau的自共轭算子□作用在对称张量T上, 得到了这类超曲面关于第二基本形式模长平方的一个拼挤定理， 加强了已有的相应结果。
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| 关 键 词： | deSitter空间 类空超曲面 数量曲率 |
| 文章编号： | 1671-5489(2004)04-0494-05 |
| 收稿时间： | 2004-02-17 |
| 修稿时间： | 2004年2月17日 |
Space-like hypersurfaces with constant scalar curvature in de Sitter spaces |
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| WANG Yue.Space-like hypersurfaces with constant scalar curvature in de Sitter spaces[J].Journal of Jilin University: Sci Ed,2004,42(4):494-498. |
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| Authors: | WANG Yue |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310028, China |
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| Abstract: | The space-like hypersurfaces with constant scalar curvature in a de Sitter space were studied and a pinching theorem on the square of the norm of the second fundamental form was obtained. This theorem has improved the results obtained by LI Hai-zhong who firstly studied the rigidity problem for a hypersurface with constant scalar curvature by introducing a self-adjoint second order differential operator. |
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| Keywords: | de Sitter space space-like hypersurface scalar curvature |
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