Homogeneous hypersurfaces in complex hyperbolic spaces

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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.
23 pages, 1 table

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Differential Geometry, 53C40 (Primary) 53C55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/119855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612157
 http://arxiv.org/abs/math/0612157

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arXiv