Minimal surfaces and harmonic diffeomorphisms from the complex plane onto a Hadamard surface

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dc.creatorGalvez, Jose A.
dc.creatorRosenberg, Harold
dc.date2008-07-07
dc.date.accessioned2026-07-07T09:48:48Z
dc.date.available2026-07-07T09:48:48Z
dc.descriptionWe construct harmonic diffeomorphisms from the complex plane $C$ onto any Hadamard surface $M$ whose curvature is bounded above by a negative constant. For that, we prove a Jenkins-Serrin type theorem for minimal graphs in $M\times R$ over domains of $M$ bounded by ideal geodesic polygons and show the existence of a sequence of minimal graphs over polygonal domains converging to an entire minimal graph in $M\times R$ with the conformal structure of $C$.
dc.description23 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0807.0997
dc.identifierhttp://arxiv.org/abs/0807.0997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164349
dc.subjectDifferential Geometry
dc.titleMinimal surfaces and harmonic diffeomorphisms from the complex plane onto a Hadamard surface
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