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Homogeneous hypersurfaces in complex hyperbolic spaces

Jurgen Berndt·Jose Carlos Diaz-Ramos
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Abstract

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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Jurgen Berndt, Jose Carlos Diaz-Ramos. 2006-12-06. Homogeneous hypersurfaces in complex hyperbolic spaces. https://arxiv.org/abs/math/0612157

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