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On isoparametric foliations of complex and quaternionic projective spaces

2024/09/09 by Miguel Domínguez-Vázquez, Dominguez-Vazquez, Miguel, Andreas Kollross +1
Engineering · Mathematics · #53C40 #57S15 #Advanced Numerical Analysis Techniques #Algebra over a field #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics #Mathematics and Applications #Primary 53C12 #Projective test #Pure mathematics #Secondary 53C35

paper · pdf · doi:10.48550/arxiv.2409.06032

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2024/09/09 · openalex created_date 2024/10/22 · openalex updated_date 2026/08/01

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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