Formulas for the Visual Angle Metric
: Fujimura, Masayo; Kargar, Rahim; Vuorinen, Matti
Publisher: Springer
: 2025
: Journal of Geometric Analysis
: 322
: 35
: 1050-6926
: 1559-002X
DOI: https://doi.org/10.1007/s12220-025-02150-w
: https://link.springer.com/article/10.1007/s12220-025-02150-w
: 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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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).
