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arXiv · 2010.01984

Introducing a new intrinsic metric

Oona Rainio·Matti Vuorinen
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Abstract

A new intrinsic metric called $t$-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains $G\subsetneq\mathbb{R}^n$. The behaviour of the new metric is also studied under a few examples of conformal and quasiconformal mappings, and the differences between the balls drawn with all the metrics considered are compared by both graphical and analytical means.

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Oona Rainio, Matti Vuorinen. 2020-10-05. Introducing a new intrinsic metric. https://doi.org/10.1007/s00025-021-01592-2

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