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<p>We conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of certain inhomogeneous isoparametric foliations of the 31-sphere under the respective Hopf fibrations, thereby solving the last remaining open cases.</p>

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On isoparametric foliations of complex and quaternionic projective spaces

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • Miguel Domínguez-Vázquez,
  • Andreas Kollross

摘要

We conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of certain inhomogeneous isoparametric foliations of the 31-sphere under the respective Hopf fibrations, thereby solving the last remaining open cases.