Global contact and quasiconformal mappings of Carnot groups
Metric Geometry
2014-08-11 v1
Abstract
We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.
Keywords
Cite
@article{arxiv.1408.1778,
title = {Global contact and quasiconformal mappings of Carnot groups},
author = {Michael G. Cowling and Alessandro Ottazzi},
journal= {arXiv preprint arXiv:1408.1778},
year = {2014}
}