English

An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$

Differential Geometry 2014-09-09 v1

Abstract

In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from Hn\mathbb{H}_*^n to Rn\mathbb{R}_*^n with rotational symmetry, which is a generalization of the corresponding result for dimension 22.

Keywords

Cite

@article{arxiv.1409.2118,
  title  = {An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$},
  author = {Shi-Zhong Du and Xu-Qian Fan},
  journal= {arXiv preprint arXiv:1409.2118},
  year   = {2014}
}