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Harmonic
quasi-isometries of pinched Hadamard surfaces are
injective
Yves Benoist and Dominique Hulin |
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Vol. 4 (2022), No. 2, 307–328
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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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Authors |
| Yves Benoist | |
| Département de Mathématiques Université Paris-Sud 11 Faculté des Sciences d’Orsay Orsay France |
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| Dominique Hulin | |
| Département de Mathématiques Université Paris-Sud 11 Faculté des Sciences d’Orsay Orsay France |
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