activity
20152023
most citedHarmonic quasi-isometric maps III :quotients of Hadamard manifolds

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.DG2023

Bounded harmonic maps

Yves Benoist, Dominique Hulin

The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmo…

math.DG2020

Harmonic quasi-isometries of pinched Hadamard surfaces are injective

Yves Benoist, Dominique Hulin

We prove that a harmonic quasi-isometric map between pinched Hadamard surfaces is a quasi-conformal diffeomorphism.

math.DG2020★ 1 cited

Harmonic quasi-isometric maps III :quotients of Hadamard manifolds

Yves Benoist, Dominique Hulin

In a previous paper, we proved that a quasi-isometric map between two pinched Hadamard manifolds and is within bounded distance from a unique harmoni…

math.DG2017

Harmonic quasi-isometric maps II : negatively curved manifolds

Yves Benoist, Dominique Hulin

We prove that a quasi-isometric map, and more generally a coarse embedding, between pinched Hadamard manifolds is within bounded distance from a unique harmonic map.

math.DG2015

Quasiisometric harmonic maps between rank one symmetric spaces

Yves Benoist, Dominique Hulin

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…