Homogeneous hypersurfaces in complex hyperbolic spaces

Details Homogeneous hypersurfaces in complex hyperbolic spaces Homogeneous hypersurfaces in complex hyperbolic spaces

2006-12-06

arxiv.org/abs/math/0612157v1

Mathematics

Differential Geometry

23 pages, 1 table

Scientific paper

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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