Harmonic nets in metric spaces

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We investigate harmonic maps from weighted graphs into metric spaces that locally admit unique centers of gravity, like Alexandrov spaces with upper curvature bounds. We prove an existence result by constructing an iterative geometric process that converges to such maps, called harmonic nets for short.
A slightly edited version wil appear in Pacific Journal of Mathematics

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Metric Geometry, 58E20, 53C43, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/136437

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2806
 http://arxiv.org/abs/0708.2806

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arXiv