Homogeneous hypersurfaces in complex hyperbolic spaces
arXiv:math/0612157
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.
23 pages, 1 table