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Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
Published 19 May 2020 in math.DG | (2005.09314v1)
Abstract: We conclude the classification of cohomogeneity one actions on symmetric spaces of rank one by classifying cohomogeneity one actions on quaternionic hyperbolic spaces up to orbit equivalence. As a by-product of our proof, we produce uncountably many examples of inhomogeneous isoparametric families of hypersurfaces with constant principal curvatures in quaternionic hyperbolic spaces.
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