Harmonic maps between 3-dimensional hyperbolic spaces
Differential Geometry
2014-07-10 v2 Geometric Topology
Abstract
We prove that a quasiconformal map of the 2-sphere admits a harmonic quasi-isometric extension to the 3-dimensional hyperbolic space, thus confirming the well known Schoen Conjecture in dimension 3.
Cite
@article{arxiv.1308.1710,
title = {Harmonic maps between 3-dimensional hyperbolic spaces},
author = {Vladimir Markovic},
journal= {arXiv preprint arXiv:1308.1710},
year = {2014}
}
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