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arXiv · 1403.6582

Lipschitz conditions, triangular ratio metric, and quasiconformal maps

Jiaolong Chen·Parisa Hariri·Riku Klén·Matti Vuorinen
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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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Jiaolong Chen, Parisa Hariri, Riku Klén, Matti Vuorinen. 2014-03-26. Lipschitz conditions, triangular ratio metric, and quasiconformal maps. https://doi.org/10.5186/aasfm.2015.4039

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