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Moebius 2 - order pre - isoparametric hypersurfaces in S^4

Moebius 2 - order pre - isoparametric hypersurfaces in S^4
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摘要 A hypersurface x:M→ Sn + 1 without umbilic point is called a Moebius k- order pre- isoparametric hypersurface if its Moebius form φ vanishes and k distinct eigenvalues of the Blaschke tensor A are constant. In this paper we classify all Moebius 2 - order pre - isoparametric hypersurfaces in S4. A hypersurface x: M→Sn+1 withou: umbilic point is called a Moebius k - order pre- isoparametric hypersurface if its Moebius form  vanishes and k distnct eigenvalues of the Blaschke tensor A are constant. In this paper we classify all Moebius 2 - order pre - isoparametric hypersurfaces in S4.
作者 何荣福
出处 《南平师专学报》 2005年第2期7-15,47,共10页 Journal of Nanping Teachers College
关键词 超曲面 特征值 参数 微分几何 pre - isoparemetric hypersurface Moebius form Blaschke tensor
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参考文献1

  • 1Changping Wang.Moebius geometry of submanifolds in ? n[J].manuscripta mathematica.1998(4)

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