Introducing a New Intrinsic Metric
: Rainio Oona, Vuorinen Matti
Publisher: SPRINGER BASEL AG
: Basel
: 2022
: Results in Mathematics
: RESULTS IN MATHEMATICS
: RESULTS MATH
: 71
: 77
: 18
DOI: https://doi.org/10.1007/s00025-021-01592-2(external)
: https://doi.org/10.1007/s00025-021-01592-2(external)
: https://research.utu.fi/converis/portal/detail/Publication/174827003(external)
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.
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