Harmonic nets in metric spaces

Details Harmonic nets in metric spaces Harmonic nets in metric spaces

2007-08-21

arxiv.org/abs/0708.2806v1

Mathematics

Metric Geometry

A slightly edited version wil appear in Pacific Journal of Mathematics

Scientific paper

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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