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