2006/12/06 by Jürgen Berndt, Berndt, Jurgen, José Carlos Díaz-Ramos +1
Mathematics · #53C40 (Primary) 53C55 (Secondary) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.math/0612157
openalex publication_date 2006/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.