A metric that better approximates the hyperbolic metric

Ma, William

doi:10.1090/ecgd/368

A metric that better approximates the hyperbolic metric
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by William Ma

Conform. Geom. Dyn. 26 (2022), 1-9

DOI: https://doi.org/10.1090/ecgd/368

Published electronically: February 1, 2022

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Abstract:

We introduce a metric, called the star metric, that gives us better upper bound of the hyperbolic metric than the Möbius invariant metric. We present various examples, and comparisons among the hyperbolic metric, the Möbius invariant metric and the star metric.

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