Harmonic quasi-isometric maps II : negatively curved manifolds
Differential Geometry
2018-06-07 v2
Abstract
We prove that a quasi-isometric map, and more generally a coarse embedding, between pinched Hadamard manifolds is within bounded distance from a unique harmonic map.
Keywords
Cite
@article{arxiv.1702.04369,
title = {Harmonic quasi-isometric maps II : negatively curved manifolds},
author = {Yves Benoist and Dominique Hulin},
journal= {arXiv preprint arXiv:1702.04369},
year = {2018}
}
Comments
58 pages: in this version 2, two chapters on coarse embeddings have been added