JournalsjemsVol. 23, No. 9pp. 2861–2911

Harmonic quasi-isometric maps II: negatively curved manifolds

  • Yves Benoist

    Université Paris Sud, Orsay, France

  • Dominique Hulin

    Université Paris Sud, Orsay, France
Harmonic quasi-isometric maps II: negatively curved manifolds cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

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. 2861–2911

DOI 10.4171/JEMS/1065