%0 Journal Article
%T Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2
%A Thomas A. Ivey
%A Patrick J. Ryan
%J Mathematics
%D 2008
%I arXiv
%X Using the methods of moving frames and exterior differential systems, we show that there exist Hopf hypersurfaces in complex hyperbolic space CH^2 with any specified value of the Hopf principal curvature less than or equal to the corresponding value for the horosphere. We give a construction for all such hypersurfaces in terms of Weierstrass-type data, and also obtain a classification of pseudo-Einstein hypersurfaces in CH^2.
%U http://arxiv.org/abs/0812.4535v1