Harmonic quasi-isometric maps between rank one symmetric spaces

Abstract

We prove that a quasi-isometric map between rank one symmetric spaces is within bounded distance from a unique harmonic map. In particular, this completes the proof of the Schoen-Li-Wang conjecture.

Authors

Yves Benoist

CNRS & Université Paris-Sud, Orsay 91405, France

Dominique Hulin

CNRS & Université Paris-Sud, Orsay 91405, France