2010•Unpublished venueRequires access

On complete hypersurfaces with two distinct principal curvatures in a hyperbolic space

Bing Ye Wu

Abstract

We investigate complete hypersurfaces in a hyperbolic space with two distinct principal curvatures and constant m-th mean curvature. By using Otsuki's idea, We obtain some global classiflcation results. As their applications, we obtain some global rigidity results for hyperbolic cylinders and obtain some non-existence results.

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Available abstract

Key concepts: Principal curvature, Mathematics, Hyperbolic space, Hyperbolic manifold, Hyperbolic 3-manifold, Mean curvature, Rigidity (electromagnetism), Mathematical analysis