| De Sitter 空间中具有调和曲率的类空超典曲面 |
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| 引用本文： | 杨慧章,穆凤,龙瑶.De Sitter 空间中具有调和曲率的类空超典曲面[J].重庆工商大学学报(自然科学版),2012,29(9):1-4. |
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| 作者姓名： | 杨慧章 穆凤 龙瑶 |
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| 作者单位： | 红河学院数学学院,云南蒙自,661100 |
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| 基金项目： | 国家自然科学基金，红河学院科研基金一般项目 |
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| 摘 要： | 研究了de Sitter空间中具有调和黎曼曲率张量的紧致类空超曲面,得到了这类超曲面的一个刚性定理:de Sitter空间S1n+1中具有调和黎曼曲率张量且截面曲率非负的紧致类空超曲面全脐或等距于Mn=M1p(c1)×M2n-p(c2),这里c1,c2为常数.
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| 关 键 词： | de Sitter空间 调和曲率 类空超曲面 |
Space-like Hypersurface with Harmonic Curvature in de Sitter Space |
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| YANG Hui-zhang,MU Feng,LONG Yao.Space-like Hypersurface with Harmonic Curvature in de Sitter Space[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2012,29(9):1-4. |
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| Authors: | YANG Hui-zhang MU Feng LONG Yao |
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| Institution: | (School of Mathematics,Honghe University,Yunnan Mengzi 661100,China) |
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| Abstract: | Compact space-like hypersurfaces with harmonic Riemannian curvature tensor in de Sitter space were studied, a rigidity theorem about this class of hypersurfaces was obtained, compact space-like hyperfaces with harmonic Riemannian curvature tensor and with nonnegative section curvature in de Sitter space Sn+1,1 are totally umbilical or isometric to Mp=Mp1(c1)*Mn-p2(c2), here c1 and c2 are constant. |
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| Keywords: | de Sitter space harmonic curvature space-like hypersurface |
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