Polar actions on the complex hyperbolic plane

DOI10.1007/s10455-012-9335-zzbMath1269.53058arXiv1108.0543OpenAlexW2153133422MaRDI QIDQ1941075

Jürgen Berndt, José Carlos Díaz-Ramos

Publication date: 11 March 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0543

zbMATH Keywords

complex hyperbolic planepolar actionshyperpolar actions

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20)

Related Items (8)

Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes ⋮ Isoparametric submanifolds in two-dimensional complex space forms ⋮ Polar actions on complex hyperbolic spaces ⋮ Examples of hyperpolar actions of the automorphism groups of Lie algebras ⋮ Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes ⋮ Polar actions on Damek-Ricci spaces ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Polar Actions on Symmetric Spaces

Cites Work

• Unnamed Item
• Polar actions with a fixed point
• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
• Low cohomogeneity and polar actions on exceptional compact Lie groups
• On maximal subgroups of real Lie groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Polar actions on rank-one symmetric spaces.
• Homogeneous polar foliations of complex hyperbolic spaces
• Polar actions on symmetric spaces
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane

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