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
: https://doi.org/10.1007/s00025-021-01592-2
: https://research.utu.fi/converis/portal/detail/Publication/174827003
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.
hyperbolic geometry, Intrinsic geometry, Intrinsic metrics, Quasiconformal mappings, triangular ratio metric
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