RT Journal Article
T1 Isoparametric hypersurfaces in Damek–Ricci spaces
A1 Díaz Ramos, José Carlos
A1 Domínguez Vázquez, Miguel
K1 Isoparametric hypersurfaces
K1 Homogeneous submanifolds
K1 Constant principal curvatures
K1 Damek-Ricci harmonic spaces
K1 Generalized Kähler angle
K1 Cohomogeneity one action
AB 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 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 plane
PB Elsevier
SN 0001-8708
YR 2013
FD 2013-06-01
LK http://hdl.handle.net/10347/16886
UL http://hdl.handle.net/10347/16886
LA eng
NO Díaz-Ramos, José Carlos; Domínguez-Vázquez, Miguel; Isoparametric hypersurfaces in Damek-Ricci spaces. Adv. Math. 239 (2013), 1–17
NO This 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.2013.02.010
NO The first author has been supported by a Marie-Curie European Reintegration Grant (PERG04-GA-2008-239162). The second author has been supported by the FPU programme of the Spanish Government. Both authors have been supported by projects MTM2009-07756 and INCITE09207151PR (Spain)
DS Minerva
RD 29 abr 2026