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arXiv · 2409.06032

On isoparametric foliations of complex and quaternionic projective spaces

Miguel Dominguez-Vazquez·Andreas Kollross
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Abstract

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.

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Miguel Dominguez-Vazquez, Andreas Kollross. 2024-09-09. On isoparametric foliations of complex and quaternionic projective spaces. https://arxiv.org/abs/2409.06032

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