Homogeneous hypersurfaces in complex hyperbolic spaces
classification
🧮 math.DG
keywords
homogeneoushypersurfacescomplexfocalhyperbolicspacescharacterizationcurvatures
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We study the geometry of homogeneous hypersurfaces and their focal sets in complex hyperbolic spaces. In particular, we provide a characterization of the focal set in terms of its second fundamental form and determine the principal curvatures of the homogeneous hypersurfaces together with their multiplicities.
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