Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2

Details Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2 Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2

2008-12-24

arxiv.org/abs/0812.4535v1

Mathematics

Differential Geometry

14 pages; to appear in Geometriae Dedicata

Scientific paper

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.

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