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.




Keywords:
conformal invariance, distortion theorem, Quasi-conformal maps, quasiregular maps



Last updated on 26/11/2024 04:06:36 PM