Lipschitz conditions, triangular ratio metric, and quasiconformal maps
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🧮 math.CA
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metricmapsquasiconformalratiotriangularbehaviorcomplexconditions
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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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