English

Harmonic quasi-isometries of pinched Hadamard surfaces are injective

Differential Geometry 2022-08-31 v1

Abstract

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

Keywords

Cite

@article{arxiv.2012.08307,
  title  = {Harmonic quasi-isometries of pinched Hadamard surfaces are injective},
  author = {Yves Benoist and Dominique Hulin},
  journal= {arXiv preprint arXiv:2012.08307},
  year   = {2022}
}