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arXiv · 2005.09314

Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces

Jose Carlos Diaz-Ramos·Miguel Dominguez-Vazquez·Alberto Rodriguez-Vazquez
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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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Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Alberto Rodriguez-Vazquez. 2020-05-19. Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces. https://arxiv.org/abs/2005.09314

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