Quasiisometric harmonic maps between rank one symmetric spaces

2015/08/26 by Yves Benoist, Benoist, Yves, Dominique Hulin +1
Mathematics · #53C24 #53C35 #53C43 (Primary) #58E20 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C24 #msc:53C35 #msc:53C43 #msc:58E20

paper · pdf · doi:10.48550/arxiv.1508.06425

23 pages, 1 figure

arxiv created 2015/08/26 · arxiv updated 2015/08/27

Abstract

We prove that a quasiisometric 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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