Classification of cohomogeneity-one actions on symmetric spaces of noncompact type

2025/01/09 by Solonenko, Ivan, Sanmartín-López, Víctor · 2 citations
#53C35 #57S20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.05553

Abstract

We complete the classification of isometric cohomogeneity-one actions on all symmetric spaces of noncompact type up to orbit equivalence.

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• On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures
• Homogeneous hypersurfaces of the four-dimensional Thurston geometry \rm Sol₀⁴

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