Isoparametric hypersurfaces in Damek-Ricci spaces

DOI10.1016/j.aim.2013.02.010zbMath1293.53065arXiv1111.0264OpenAlexW2964100430MaRDI QIDQ390756

José Carlos Díaz-Ramos, Miguel Domínguez-Vázquez

Publication date: 8 January 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0264

zbMATH Keywords

isoparametric hypersurfacesconstant principal curvaturescohomogeneity-one actionDamek-Ricci harmonic spacesgeneralized Kähler anglehomogeneous submanifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (17)

Isoparametric hypersurfaces in complex hyperbolic spaces ⋮ Isoparametric hypersurfaces in product spaces ⋮ Polar actions on complex hyperbolic spaces ⋮ Isoparametric hypersurfaces with four principal curvatures. IV ⋮ Cohomogeneity one actions on some noncompact symmetric spaces of rank two ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank ⋮ On hypersurfaces of \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces ⋮ Unnamed Item ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ Einstein hypersurfaces of Damek-Ricci spaces ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ A nonisoparametric hypersurface with constant principal curvatures ⋮ Hypersurfaces of constant higher-order mean curvature in \(M\times{\mathbb{R}}\) ⋮ Isoparametric surfaces in $E(\kappa,\tau)$-spaces ⋮ Polar Actions on Symmetric Spaces

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