Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2

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dc.creatorIvey, Thomas A.
dc.creatorRyan, Patrick J.
dc.date2008-12-24
dc.date.accessioned2026-07-07T12:21:56Z
dc.date.available2026-07-07T12:21:56Z
dc.descriptionUsing 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.
dc.description14 pages; to appear in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/0812.4535
dc.identifierhttp://arxiv.org/abs/0812.4535
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213492
dc.subjectDifferential Geometry
dc.subject53C25, 53C40, 53C55, 58A15
dc.titleHopf Hypersurfaces of Small Hopf Principal Curvature in CH^2
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