Homogeneous hypersurfaces in complex hyperbolic spaces
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0612157,
title = {Homogeneous hypersurfaces in complex hyperbolic spaces},
author = {Jurgen Berndt and Jose Carlos Diaz-Ramos},
journal= {arXiv preprint arXiv:math/0612157},
year = {2007}
}
Comments
23 pages, 1 table