We prove that a quasi-isometric map, and more generally a coarse embedding, between pinched Hadamard manifolds is within bounded distance of a unique harmonic map.
Cite this article
Yves Benoist, Dominique Hulin, Harmonic quasi-isometric maps II: negatively curved manifolds. J. Eur. Math. Soc. 23 (2021), no. 9, pp. 2861–2911DOI 10.4171/JEMS/1065