Minimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space |
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Authors: | Baris Coskunuzer |
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Institution: | (1) Department of Mathematics, Yale University, New Haven, CT, 06520, U.S.A. |
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Abstract: | We study the constant mean curvature (CMC) hypersurfaces in
whose asymptotic boundaries are closed codimension-1 submanifolds in
. We consider CMC hypersurfaces as generalizations of minimal hypersurfaces. We naturally generalize some notions of minimal hypersurfaces like being area-minimizing, convex hull property, exchange roundoff trick to CMC hypersurface context. We also give a generic uniqueness result for CMC hypersurfaces in hyperbolic space. |
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Keywords: | constant mean curvature hypersurface asymptotic plateau problem |
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