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Abstract
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We prove that a harmonic quasi-isometric map between pinched Hadamard surfaces
is a quasi-conformal diffeomorphism.
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Keywords
harmonic map, quasi-isometric map, boundary map, negative
curvature, quasi-conformal diffeomorphism
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Mathematical Subject Classification
Primary: 53C43
Secondary: 30C62, 58E20
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Milestones
Received: 6 January 2021
Revised: 4 October 2021
Accepted: 22 October 2021
Published: 24 August 2022
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