Formulas for the visual angle metric

2023/04/10 by Fujimura, Masayo, Kargar, Rahim, Vuorinen, Matti · 2 citations
#30C60 #51M09 #51M15 #Complex Variables (math.CV) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2304.04485

Abstract

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.

Cited by

• Hilbert metric and Hölder continuity
• On the average scale-invariant Cassinian metric

Related

• The visual angle metric and quasiregular maps
• Visual angle metric in the upper half plane
• Hilbert metric and quasiconformal mappings
• Geometry of Metrics
• Visual metrics on boundaries of hyperbolic spaces