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arXiv · 0708.2806

Harmonic nets in metric spaces

J. Jost·L. Todjihounde
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Abstract

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.

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J. Jost, L. Todjihounde. 2007-08-21. Harmonic nets in metric spaces. https://arxiv.org/abs/0708.2806

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