A2 Refereed review article in a scientific journal
Introducing a New Intrinsic Metric
Authors: Rainio Oona, Vuorinen Matti
Publisher: SPRINGER BASEL AG
Publishing place: Basel
Publication year: 2022
Journal: Results in Mathematics
Journal name in source: RESULTS IN MATHEMATICS
Journal acronym: RESULTS MATH
Article number: 71
Volume: 77
Number of pages: 18
DOI: https://doi.org/10.1007/s00025-021-01592-2
Publication's open availability at the time of reporting: Open Access
Publication channel's open availability : Partially Open Access publication channel
Web address : https://doi.org/10.1007/s00025-021-01592-2
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/174827003
Self-archived copy's licence: CC BY
Self-archived copy's version: Publisher`s PDF
A new intrinsic metric called the t-metric is introduced. Several sharp inequalities between this metric and the most common hyperbolic type metrics are proven for various domains G subset of 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 computational and analytical means.
Keywords:
hyperbolic geometry, Intrinsic geometry, Intrinsic metrics, Quasiconformal mappings, triangular ratio metric
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