Díaz Ramos, José CarlosDomínguez Vázquez, MiguelRodríguez-Vázquez, Alberto2024-10-042024-10-042021Díaz-Ramos, José Carlos, Domínguez-Vázquez, Miguel and Rodríguez-Vázquez, Alberto. "Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces" Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2021, no. 779, 2021, pp. 189-222http://hdl.handle.net/10347/35019We 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.enghttp://creativecommons.org/licenses/by-nc/4.0/deed.esjournal article10.1515/crelle-2021-0043open access