A1 Refereed original research article in a scientific journal

Lipschitz conditions, triangular ratio metric, and quasiconformal maps



Authors: Jiaolong Chen, Parisa Hariri, Riku Klén, Matti Vuorinen

Publication year: 2015

Journal: Annales Academiae Scientiarum Fennicae. Mathematica

Journal acronym: aasfm

Volume: 40

Issue: 2

First page : 683

Last page: 709

Number of pages: 27

ISSN: 1239-629X

DOI: https://doi.org/10.5186/aasfm.2015.4039

Web address : http://www.acadsci.fi/mathematica/Vol40/vol40.html


Abstract

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.




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