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arXiv · 0812.4535

Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2

Thomas A. Ivey·Patrick J. Ryan
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Abstract

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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Thomas A. Ivey, Patrick J. Ryan. 2008-12-24. Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2. https://arxiv.org/abs/0812.4535

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