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arXiv · 2007.03250

Harmonic quasi-isometric maps III :quotients of Hadamard manifolds

Yves Benoist·Dominique Hulin
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Abstract

In a previous paper, we proved that a quasi-isometric map $f:X\longrightarrow Y$ between two pinched Hadamard manifolds $X$ and $Y$ is within bounded distance from a unique harmonic map. We extend this result to maps $f:\Gamma\backslash X\longrightarrow Y$, where $\Gamma$ is a convex cocompact discrete group of isometries of $X$ and $f$ is locally quasi-isometric at infinity.

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Yves Benoist, Dominique Hulin. 2020-07-07. Harmonic quasi-isometric maps III :quotients of Hadamard manifolds. https://arxiv.org/abs/2007.03250

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