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Harmonic quasi-isometric maps II : negatively curved manifolds

Authors :
Benoist, Yves
Hulin, Dominique
Publication Year :
2017

Abstract

We prove that a quasi-isometric map, and more generally a coarse embedding, between pinched Hadamard manifolds is within bounded distance from a unique harmonic map.<br />Comment: 58 pages: in this version 2, two chapters on coarse embeddings have been added

Subjects

Subjects :
Mathematics - Differential Geometry
53C43, 53C24, 53C35, 58E20

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1702.04369
Document Type :
Working Paper

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