Lipschitz conditions, triangular ratio metric, and quasiconformal maps
Classical Analysis and ODEs
2015-08-24 v4
Abstract
The triangular ratio metric is studied in subdomains of the complex plane and Euclidean -space. Various inequalities are proven for it. The main results deal with the behavior of this metric under quasiconformal maps. We also study the smoothness of metric disks with small radii.
Cite
@article{arxiv.1403.6582,
title = {Lipschitz conditions, triangular ratio metric, and quasiconformal maps},
author = {Jiaolong Chen and Parisa Hariri and Riku Klén and Matti Vuorinen},
journal= {arXiv preprint arXiv:1403.6582},
year = {2015}
}
Comments
30 pages, four figures