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局部对称共形平坦Lorentz流形中具有常平均曲率的紧致类空超曲面 被引量:1

Compact Spacelike Hypersurfaces of Constant Mean Curvature in Locally Symmetric Conformally Flat Lorantzian Manifold
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摘要 研究了局部对称共形平坦Lorentz流形中具有常平均曲率的紧致类空超曲面,得到这类超曲面的一个刚性分类定理. In this paper,the author investigated the compact spacelike hypersurfaces of constant mean curvature in locally symmetric conformally flat Lorantzian manifold,and obained some rigidity theorems.
出处 《安徽师范大学学报(自然科学版)》 CAS 北大核心 2011年第2期119-123,共5页 Journal of Anhui Normal University(Natural Science)
基金 安徽省教育厅自然科学基金项目(KJ2008A05zC)
关键词 局部对称 共形平坦 LORENTZ流形 常平均曲率 类空超曲面 全脐 locally symmetric conformally flat Lorantzian manifold constant mean curvature spacelike hypersurfaces totally umbilical
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参考文献7

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二级参考文献8

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共引文献10

同被引文献5

  • 1ISHIHARA T. Maximal spacelike submanifolds of a pseudo-riemannian space of constant curvature[J].Michigan Mathematical Journal,1988,(03):345-352.
  • 2ALENCAR H,DO Carmo M. Hypersurfaces with constant mean curvature in spheres[J].Proceedings of the American Mathematical Society,1994.1223-1229.
  • 3姜国英.Riemannian流形间2-调和等距浸入[J]数学年刊a辑,1986(02):130-144.
  • 4孙弘安,钟定兴,吴庆琼.DeSitter空间的2-调和超曲面[J].数学杂志,2002,22(1):83-86. 被引量:3
  • 5舒世昌,刘三阳.De Sitter空间的2—调和类空子流形[J].工程数学学报,2003,20(1):135-138. 被引量:7

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