Quasiconformal and geodesic trees
Metric Geometry
2020-06-11 v3 Complex Variables
Abstract
A quasiconformal tree is a metric tree that is doubling and of bounded turning. We prove that every quasiconformal tree is quasisymmetrically equivalent to a geodesic tree with Hausdorff dimension arbitrarily close to 1.
Keywords
Cite
@article{arxiv.1902.07691,
title = {Quasiconformal and geodesic trees},
author = {Mario Bonk and Daniel Meyer},
journal= {arXiv preprint arXiv:1902.07691},
year = {2020}
}
Comments
51 pages, 6 Figures