Some examples of quasiisometries of nilpotent Lie groups
Group Theory
2014-03-11 v2 Complex Variables
Abstract
We construct quasiisometries of nilpotent Lie groups. In particular, for any simply connected nilpotent Lie group N, we construct quasiisometries from N to itself that is not at finite distance from any map that is a composition of left translations and automorphisms. We also construct biLipschitz maps of the Heisenberg groups that send vertical lines to non-vertical curves.
Keywords
Cite
@article{arxiv.1308.3034,
title = {Some examples of quasiisometries of nilpotent Lie groups},
author = {Xiangdong Xie},
journal= {arXiv preprint arXiv:1308.3034},
year = {2014}
}