Harmonic quasi-isometric maps between rank one symmetric spaces

Pages 895-917 from Volume 185 (2017), Issue 3 by Yves Benoist, Dominique Hulin

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.

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Keywords
, , , , ,
Mathematical Subject Classification
Primary: Secondary: , ,
DOI
https://doi.org/10.4007/annals.2017.185.3.4
MR
3664813
Zbl
06731860
Milestones
Received: 9 October 2015
Revised: 8 December 2015
Accepted: 14 December 2016
Published online: 12 April 2017

Authors

Yves Benoist

CNRS & Université Paris-Sud, Orsay, France

Dominique Hulin

Université Paris-Sud, Orsay, France