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H^n(-1)到H^(n+1)(-1)中的等距浸入 被引量:1

Special isometric immersions of H^n(-1) into H^(n+1)(-1)
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摘要 主要研究Hn(-1)到Hn+1(-1)中的具有奇异点和特殊第二基本形式的等距浸入.通过求解一组偏微分方程,得到了这些等距浸入的特殊例子. In this paper, we study isometric immersions of H^n(-1) into H^(n+1)(-1) with singularities which assume special fundamental forms. By solving differential equations, we find some special examples of such immersions.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 2004年第4期13-16,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省自然科学基金项目(004051900)
关键词 双曲空间 等距浸入 主曲率 Hyperbolic space isometric immersion principal curvature
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参考文献7

  • 1K. Abe,H. Mori,H. Takahashi.A Parametrization of Isometric Immersions between Hyperbolic Spaces[J].Geometriae Dedicata.1997(1)
  • 2Nomizu K.Isometric immersions of the hyperbolic plane into the hyperbolic space[].Mathematische Annalen.1973
  • 3Perus D.On isometric immersions between hyperbolic spaces[].Ibis.1973
  • 4Hu Z J.Isometric immersions of the hyperbolic space Hn (-1) into Hn+1 (-1)[].Colloquium Mathematicum.1999
  • 5Abe K,Haas A.Isometric immersions of Hn into Hn+1[].Proceedings of Symposia in Pure Mathematics.1993
  • 6Hu Z J,Zhao G S.Classification of isometric immersions of the hyperbolic space H2 into H3[].Geometriae Dedicata.1997
  • 7Hu Z J,Zhao G S.Isometric immersions from the hyperbolic space H2 (- 1) into H3 (- 1)[].Proceedings of the American Mathematical Society.1997

同被引文献6

  • 1[1]Normizu K.Isometric immersions of the hyperbolic plane into the hyperbolic space[J].Math Ann,1973,205:181-192.
  • 2[2]Abe K,Mori H and Takahashi H.A parametrization of isometric immersions between hyperbolic spaces[J].Geom Dedicata,1997,65:31-46.
  • 3[3]Hu Z.J.Isometric immersions of the hyperbolic space Hn(-1) into Hn+1(-1)[J].Colloquium Math,1999,79(1):17-23.
  • 4[4]Abe K.and Haas A.Isometric immersions of Hn(-1) into Hn+1(-1)[J].Proc Sympos Pure Math,1993,54(3):23-30.
  • 5[5]Hu Z.J.and Zhao G.S.Classification of isometric immersions of the hyperbolic space H2(-1) into[J].Geom Dedicata,1997,65:47-57.
  • 6[6]Hu Z.J.and Zhao G.S.Isometric immersions from the hyperbolic spaceH2(-1) into H3(-1)[J].Proc Amer Math Soc,1997,125:2693-2697.

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