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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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 $C$.
23 pages, 10 figures

Keywords

Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/164349

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.0997
 http://arxiv.org/abs/0807.0997

Collections

arXiv