Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces-Reference-Cited by-同舟云学术

Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces

Published:2021-08-17 Issue:779 Volume:2021 Page:189-222
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Díaz-Ramos José Carlos¹^ORCID,Domínguez-Vázquez Miguel¹^ORCID,Rodríguez-Vázquez Alberto¹^ORCID

Affiliation:

1. Faculty of Mathematics , University of Santiago de Compostela , Rúa Lope Gómez de Marzoa s/n, 15782 Santiago de Compostela , Spain

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2021-0043/pdf

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