Lipschitz conditions, triangular ratio metric, and quasiconformal maps



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

: 2015

 Annales Academiae Scientiarum Fennicae. Mathematica

: aasfm

: 40

: 2

: 683

: 709

: 27

: 1239-629X

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

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


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.




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



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