Contact hypersurfaces of a complex hyperbolic space
It is shown that complete connected contact hypersurfaces of \({\mathbb{C}}H^ n(-4)\) (complex hyperbolic space with Bergman metric), \(n\geq 3\), are congruent to totally geodesic hypersurfaces, horospheres or tubes of positive radii around totally geodesic n-dimensional real hyperbolic space forms imbedded in \({\mathbb{C}}H^ n(-4)\). The author uses the congruence results of his paper ``Some families of isoparametric hypersufaces and rigidity in a complex hyperbolic space'' (to appear).
scientific article; zbMATH DE number 4036667