期刊文献+

空间形式中常数量率的子流形(英文)

Submanifolds with Constant Scalar Curvature in Space Forms
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摘要 本文利用一个类似于Cheng和Yau引进的微分算子的新微分算子 。 In this paper by use of a new differential op erator similar as one introduced by Cheng and Yau,we obtain a rigidity result fo r a compact submanifold of constant scalar curvature in a unit sphere.
出处 《应用数学》 CSCD 北大核心 2003年第4期96-100,共5页 Mathematica Applicata
基金 SupportedbyZhejiangProvincialNaturalScienceFoundationofChina( 10 2 0 33)
关键词 空间形式 常数量率 子流形 全脐子流形 紧致流形 微分算子 刚性 RIEMANN流形 Submanifold Constant scalar curvature Space form Totall y umbilical submanifold
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参考文献7

  • 1Cheng S Y, Yau S T. Hypersurfaces with constant scalar curvature[J]. Math Ann , 1977,225:195-204.
  • 2Li Haizhong. Hypersurfaces with constant scalar curvature in space forms[J]. Math Ann , 1996,305:655-672.
  • 3Hou Zhonghua. Submanifolds of constant scalar curvature in a space form[J]. Kyungpook Math J ,1998,38:439-458.
  • 4Xuan Manyou. Space-like submanifolds with constant scalar curvature in an indefinite space form Np^n+p (c) [J]. Journal of Zhejiang University (Science Edition), 2002,29 (4): 373- 379.
  • 5Chem S S,Carmo M D,Kobayashi S. Minimal submanifolds of a sphere with second fundamental form of constant length, Functional Analysis and Related Fields[M]. New York:Springer-verlag, 1970.
  • 6Santos W. Submanifolds with parallel mean curvature vector in spheres[J]. Tohoku Math J, 1992,46:405-415.
  • 7Li A M,Li J M. An intrinsic rigidity theorem for minimal submanifolds in a sphere[J]. Azch Math ,1992,58:582-594.

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