Minimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space

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dc.creatorCoskunuzer, Baris
dc.date2005-08-17
dc.date.accessioned2026-07-07T06:29:45Z
dc.date.available2026-07-07T06:29:45Z
dc.descriptionWe study the constant mean curvature (CMC) hypersurfaces in hyperbolic space whose asymptotic boundaries are closed codimension-1 submanifolds in sphere at infinity. 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 the CMC hypersurface context. We also give a generic uniqueness result for CMC hypersurfaces in hyperbolic space.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0508336
dc.identifierhttp://arxiv.org/abs/math/0508336
dc.identifierGeom. Dedicata 118 (2006) 157-171.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98148
dc.subjectDifferential Geometry
dc.subject53A10 ; 53C42
dc.titleMinimizing Constant Mean Curvature Hypersurfaces in Hyperbolic Space
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