%0 Journal Article
%T Lipschitz conditions, triangular ratio metric, and quasiconformal maps
%A Jiaolong Chen
%A Parisa Hariri
%A Riku Kl¨Śn
%A Matti Vuorinen
%J Mathematics
%D 2014
%I arXiv
%R 10.5186/aasfm.2015.4039
%X The triangular ratio metric is studied in subdomains of the complex plane and Euclidean $n$-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.
%U http://arxiv.org/abs/1403.6582v4