Polar actions on complex hyperbolic spaces

DOI10.1007/s00209-017-1864-5zbMath1383.53040arXiv1208.2823OpenAlexW3102020908MaRDI QIDQ1686802

Andreas Kollross, José Carlos Díaz-Ramos, Miguel Domínguez-Vázquez

Publication date: 15 December 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2823

zbMATH Keywords

Kähler anglecomplex hyperbolic spacepolar action

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)

Related Items (13)

Isoparametric hypersurfaces in complex hyperbolic spaces ⋮ Homogeneous Lagrangian foliations on complex space forms ⋮ Cohomogeneity one actions on anti de Sitter spacetimes ⋮ Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes ⋮ Isoparametric submanifolds in two-dimensional complex space forms ⋮ Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank ⋮ Homogeneous CR submanifolds of complex hyperbolic spaces ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes ⋮ Unnamed Item ⋮ Polar actions on Damek-Ricci spaces ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isoparametric hypersurfaces in Damek-Ricci spaces
• Homogeneous compact geometries
• Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
• Polar foliations of symmetric spaces
• Polar actions with a fixed point
• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
• Singular Riemannian foliations and isoparametric submanifolds
• Low cohomogeneity and polar actions on exceptional compact Lie groups
• Singular Riemannian foliations on nonpositively curved manifolds
• Homogeneous hypersurfaces in complex hyperbolic spaces
• On maximal subgroups of real Lie groups
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Polar actions on compact symmetric spaces which admit a totally geodesic principal orbit
• Polar actions on rank-one symmetric spaces.
• Homogeneous polar foliations of complex hyperbolic spaces
• Polar actions on the complex hyperbolic plane
• Polar actions on symmetric spaces
• Cohomogeneity one actions on hyperbolic spaces
• A classification of hyperpolar and cohomogeneity one actions
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Polar Actions on Symmetric Spaces
• Duality of symmetric spaces and polar actions
• Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Polar Coordinates Induced by Actions of Compact Lie Groups
• A General Theory of Canonical Forms
• Isoparametric Submanifolds of Hyperbolic Spaces
• The normal holonomy group of Kähler submanifolds
• Polar actions on symmetric spaces of higher rank

This page was built for publication: Polar actions on complex hyperbolic spaces