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On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues

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Abstract

An immersed umbilic-free submanifold in the unit sphere is called Blaschke isoparametric if its Möbius form vanishes identically and all of its Blaschke eigenvalues are constant. In this paper, we give a complete classification for all Blaschke isoparametric hypersurfaces with three distinct Blaschke eigenvalues.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China

    ZeJun Hu & ShuJie Zhai

  2. Department of Mathematics, Henan Normal University, Xinxiang, 453007, China

    XingXiao Li

Authors
  1. ZeJun Hu
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  2. XingXiao Li
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  3. ShuJie Zhai
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Correspondence to XingXiao Li.

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Hu, Z., Li, X. & Zhai, S. On the Blaschke isoparametric hypersurfaces in the unit sphere with three distinct Blaschke eigenvalues. Sci. China Math. 54, 2171–2194 (2011). https://doi.org/10.1007/s11425-011-4291-9

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  • DOI: https://doi.org/10.1007/s11425-011-4291-9

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