2011/11/01 by J. Carlos Diaz-Ramos, Diaz-Ramos, J. Carlos, Miguel Dominguez-Vazquez +1 · 1 citation
Mathematics · #53C30 #53C35 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C30 #msc:53C35 #msc:53C40
paper · pdf · doi:10.48550/arxiv.1111.0264
Some references updated
arxiv created 2012/10/02 · arxiv updated 2012/10/03
We 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 Kahler 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 plane.