Nonexistence of quasiconformal maps between certain metric measure spaces
Metric Geometry
2013-12-05 v1 Classical Analysis and ODEs
Differential Geometry
Abstract
We provide new conditions that ensure that two metric measure spaces are not quasiconformally equivalent. As an application we deduce that there exists no quasiconformal map between the sub-Riemannian Heisenberg and roto-translation groups.
Keywords
Cite
@article{arxiv.1312.1305,
title = {Nonexistence of quasiconformal maps between certain metric measure spaces},
author = {Katrin Fässler and Pekka Koskela and Enrico Le Donne},
journal= {arXiv preprint arXiv:1312.1305},
year = {2013}
}