2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213492Using 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^2.14 pages; to appear in Geometriae DedicataDifferential Geometry53C25, 53C40, 53C55, 58A15Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2text