Rigidity of fiber-preserving quasisymmetric maps
Metric Geometry
2015-01-13 v1 Complex Variables
Group Theory
Abstract
We show that fiber-preserving quasisymmetric maps are biLipschitz. As an application, we show that quasisymmetric maps on Carnot groups with reducible first stratum are biLipschitz.
Keywords
Cite
@article{arxiv.1501.02391,
title = {Rigidity of fiber-preserving quasisymmetric maps},
author = {Enrico Le Donne and Xiangdong Xie},
journal= {arXiv preprint arXiv:1501.02391},
year = {2015}
}