A2 Vertaisarvioitu katsausartikkeli tieteellisessä lehdessä
Introducing a New Intrinsic Metric
Tekijät: Rainio Oona, Vuorinen Matti
Kustantaja: SPRINGER BASEL AG
Kustannuspaikka: Basel
Julkaisuvuosi: 2022
Journal: Results in Mathematics
Tietokannassa oleva lehden nimi: RESULTS IN MATHEMATICS
Lehden akronyymi: RESULTS MATH
Artikkelin numero: 71
Vuosikerta: 77
Sivujen määrä: 18
DOI: https://doi.org/10.1007/s00025-021-01592-2
Verkko-osoite: https://doi.org/10.1007/s00025-021-01592-2
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/174827003
Tiivistelmä
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.
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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
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