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2022 Harmonic quasi-isometries of pinched Hadamard surfaces are injective
Yves Benoist, Dominique Hulin
Tunisian J. Math. 4(2): 307-328 (2022). DOI: 10.2140/tunis.2022.4.307

Abstract

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

Citation

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Yves Benoist. Dominique Hulin. "Harmonic quasi-isometries of pinched Hadamard surfaces are injective." Tunisian J. Math. 4 (2) 307 - 328, 2022. https://doi.org/10.2140/tunis.2022.4.307

Information

Received: 6 January 2021; Revised: 4 October 2021; Accepted: 22 October 2021; Published: 2022
First available in Project Euclid: 2 September 2022

Digital Object Identifier: 10.2140/tunis.2022.4.307

Subjects:
Primary: 53C43
Secondary: 30C62 , 58E20

Keywords: boundary map , Harmonic map , negative curvature , quasi-conformal diffeomorphism , quasi-isometric map

Rights: Copyright © 2022 Mathematical Sciences Publishers

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