Rigidity of quasiconformal maps on Carnot groups
Complex Variables
2016-06-15 v1 Group Theory
Abstract
We show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.
Keywords
Cite
@article{arxiv.1308.3028,
title = {Rigidity of quasiconformal maps on Carnot groups},
author = {Xiangdong Xie},
journal= {arXiv preprint arXiv:1308.3028},
year = {2016}
}