Möbius metric in sector domains



: Rainio Oona, Vuorinen Matti

Publisher: SPRINGER HEIDELBERG

: 2023

: Czechoslovak Mathematical Journal

: CZECHOSLOVAK MATHEMATICAL JOURNAL

: CZECH MATH J

: 24

: 0011-4642

: 1572-9141

DOI: https://doi.org/10.21136/CMJ.2022.0050-22(external)

: https://articles.math.cas.cz/10.21136/CMJ.2022.0050-22(external)

: https://research.utu.fi/converis/portal/detail/Publication/177157224(external)


The Mobius metric delta(G) is studied in the cases, where its domain G is an open sector of the complex plane. We introduce upper and lower bounds for this metric in terms of the hyperbolic metric and the angle of the sector, and then use these results to find bounds for the distortion of the Mobius metric under quasiregular mappings defined in sector domains. Furthermore, we numerically study the Mobius metric and its connection to the hyperbolic metric in polygon domains.

Last updated on 2024-26-11 at 23:30