Large scale geometry of negatively curved $\R^n \rtimes \R$
Group Theory
2014-11-11 v1 Complex Variables
Abstract
We classify all negatively curved up to quasiisometry. We show that all quasiisometries between such manifolds (except when they are biLipschitz to the real hyperbolic spaces) are almost similarities. We prove these results by studying the quasisymmetric maps on the ideal boundary of these manifolds.
Keywords
Cite
@article{arxiv.1001.0147,
title = {Large scale geometry of negatively curved $\R^n \rtimes \R$},
author = {Xiangdong Xie},
journal= {arXiv preprint arXiv:1001.0147},
year = {2014}
}