Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two

DOI10.1007/s10231-023-01345-8zbMath1527.53054arXiv2109.14399OpenAlexW3202310911MaRDI QIDQ6046850

Ivan Solonenko

Publication date: 6 October 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14399

zbMATH Keywords

symmetric spaceshomogeneous hypersurfacescohomogeneity-one actions

Mathematics Subject Classification ID

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

Related Items (2)

Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank ⋮ Homogeneous hypersurfaces in symmetric spaces

Cites Work

• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
• Cohomogeneity one actions on some noncompact symmetric spaces of rank two
• Homogeneous codimension one foliations on noncompact symmetric spaces.
• Cohomogeneity one actions on noncompact symmetric spaces with a totally geodesic singular orbit
• Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
• The extensibility of local Lie groups of transformations and groups on surfaces
• Cohomogeneity one actions on hyperbolic spaces
• A classification of hyperpolar and cohomogeneity one actions
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Submanifolds and Holonomy
• Real forms of hermitian symmetric spaces
• Lie groups beyond an introduction
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