| de Sitter空间中类空子流形的整体刚性定理 |
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| 引用本文： | 陆明,蔡开仁. de Sitter空间中类空子流形的整体刚性定理[J]. 杭州师范学院学报(自然科学版), 2007, 6(3): 164-168 |
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| 作者姓名： | 陆明 蔡开仁 |
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| 作者单位： | 杭州师范大学,理学院,淅江,杭州,310036 |
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| 摘 要： | 研究de Sitter空间中具有平行平均曲率的类空子流形,在关于子流形的第二基本量的整体Pinching条件下,利用Sobolev不等式和梯度估计的方法,证明类空子流形为全脐的几个刚性定理.
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| 关 键 词： | deSitter空间 类空子流形 全脐 Sobolev不等式 |
| 文章编号： | 1008-9403(2007)03-0164-05 |
| 修稿时间： | 2007-01-15 |
Global Rigidity Theorems of Space-like Submanifolds in de Sitter Space |
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| LU Ming,CAI Kai-ren. Global Rigidity Theorems of Space-like Submanifolds in de Sitter Space[J]. Journal of Hangzhou Teachers College(Natural Science), 2007, 6(3): 164-168 |
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| Authors: | LU Ming CAI Kai-ren |
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| Abstract: | In the paper we studied the space-like submanifolds with paraller mean curvature vector in a de Sitter space.By using the Sobolev inequality and Gradient estimates we have proved some rigidity theorems for the space-like submanifold in a de Sitter space to be totally umbilical under the global pinching conditions of second fundamental quantity on submanifolds. |
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| Keywords: | de Sitter space space-like submanifold totally umbilical Sobolev inequality |
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