Cohomogeneity one actions on hyperbolic spaces

DOI10.1515/CRLL.2001.093zbMath1014.53042OpenAlexW2078521042MaRDI QIDQ2757785

Martina Brück, Jürgen Berndt

Publication date: 3 December 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.093

zbMATH Keywords

Kähler angleHadamard manifoldIwasawa decompositioncohomogeneity one action

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Related Items (23)

Isoparametric hypersurfaces in complex hyperbolic spaces ⋮ Cohomogeneity one actions on noncompact symmetric spaces with a totally geodesic singular orbit ⋮ Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane ⋮ Cohomogeneity one actions on anti de Sitter spacetimes ⋮ Isoparametric hypersurfaces in Damek-Ricci spaces ⋮ Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces ⋮ Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two ⋮ Polar actions on complex hyperbolic spaces ⋮ Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank ⋮ Cohomogeneity one actions on some noncompact symmetric spaces of rank two ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Homogeneous CR submanifolds of complex hyperbolic spaces ⋮ Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces ⋮ A Cartan type identity for isoparametric hypersurfaces in symmetric spaces ⋮ Complex hyperpolar actions with a totally geodesic orbit ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ Real hypersurfaces with constant principal curvatures in complex space forms ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Homogeneous hypersurfaces in complex hyperbolic spaces ⋮ The Space of Left-Invariant Riemannian Metrics ⋮ Complex equifocal submanifolds and infinite-dimensional anti-Kählerian isoparametric submanifolds ⋮ Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane ⋮ Cohomogeneity one actions on noncompact symmetric spaces of rank one

Cites Work

• Compact transformation groups on rational cohomology Cayley projective planes
• Familles de surfaces isoparametriques dans les espaces à courbure constante
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