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On isoparametric foliations of complex and quaternionic projective spaces

2024/09/09 by Dominguez-Vazquez, Miguel, Kollross, Andreas
#53C40 #57S15 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C12 #Secondary 53C35

paper · doi:10.48550/arxiv.2409.06032

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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