A1 Refereed original research article in a scientific journal
Formulas for the Visual Angle Metric
Authors: Fujimura, Masayo; Kargar, Rahim; Vuorinen, Matti
Publisher: Springer
Publication year: 2025
Journal: Journal of Geometric Analysis
Article number: 322
Volume: 35
ISSN: 1050-6926
eISSN: 1559-002X
DOI: https://doi.org/10.1007/s12220-025-02150-w
Web address : https://link.springer.com/article/10.1007/s12220-025-02150-w
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/499395463
We prove several new formulas for the visual angle metric of the unit disk in terms of the hyperbolic metric and apply these to prove a sharp Schwarz lemma for the visual angle metric under quasiregular mappings.
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Funding information in the publication:
The first author was partially supported by JSPS KAKENHI Grant Numbers JP19K03531, JP25K07039. The research of the second author was supported by a grant from Vilho, Yrjö and Kalle Väisälä fund.
Open Access funding provided by University of Turku (including Turku University Central Hospital).
