Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2

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Ivey, Thomas A.
Ryan, Patrick J.
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Abstract
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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.
Comment: 14 pages; to appear in Geometriae Dedicata
Keywords
Mathematics - Differential Geometry, 53C25, 53C40, 53C55, 58A15
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