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Formulas for the visual angle metric

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arxiv 2304.04485 v4 pith:ODWSZBVR submitted 2023-04-10 math.CV math.MG

Masayo Fujimura , Rahim Kargar , Matti Vuorinen This is my paper
classification math.CVmath.MG
keywords metricanglevisualformulasproveapplydiskhyperbolic
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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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  1. On the average scale-invariant Cassinian metric

    math.MG 2025-06 conditional novelty 6.0 of 10

    The average scale-invariant Cassinian metric is sharply comparable to four standard hyperbolic-type metrics, and its balls in punctured Euclidean space are convex exactly for radius at most log 3.

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