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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s1（n+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齐或等距于Mn=Mp1(c1)*M(n-p)2(c2),这里c1，c2为常数。 |
| 关键词: de sitter空间 调和曲率 类空超曲面 |
| DOI： |
| 分类号: |
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| Space-like Hypersurface with Harmonic Curvature in de Sitter Space |
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YANG Hui-zhang, MU Feng, LONG Yao
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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. |
| Key words: de Sitter space harmonic curvature space-like hypersurface |
