Díaz Ramos, José CarlosDomínguez Vázquez, Miguel2018-06-282018-06-282013-06-01Díaz-Ramos, José Carlos; Domínguez-Vázquez, Miguel; Isoparametric hypersurfaces in Damek-Ricci spaces. Adv. Math. 239 (2013), 1–170001-8708http://hdl.handle.net/10347/16886This is the accepted manuscript of the following article: Díaz-Ramos, José Carlos; Domínguez-Vázquez, Miguel; Isoparametric hypersurfaces in Damek-Ricci spaces. Adv. Math. 239 (2013), 1–17. https://doi.org/10.1016/j.aim.2013.02.010We construct uncountably many isoparametric families of hypersurfaces in Damek-Ricci spaces. We characterize those of them that have constant principal curvatures by means of the new concept of generalized Kähler angle. It follows that, in general, these examples are inhomogeneous and have nonconstant principal curvatures. We also find new cohomogeneity one actions on quaternionic hyperbolic spaces, and an isoparametric family of inhomogeneous hypersurfaces with constant principal curvatures in the Cayley hyperbolic planeeng© 2013 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http:// creativecommons.org/licenses/by-nc-nd/4.0/)http://creativecommons.org/licenses/by-nc-nd/4.0/Isoparametric hypersurfacesHomogeneous submanifoldsConstant principal curvaturesDamek-Ricci harmonic spacesGeneralized Kähler angleCohomogeneity one actionjournal article10.1016/j.aim.2013.02.010open access