English

Formulas for the visual angle metric

Complex Variables 2024-05-31 v4 Metric Geometry

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.

Keywords

Cite

@article{arxiv.2304.04485,
  title  = {Formulas for the visual angle metric},
  author = {Masayo Fujimura and Rahim Kargar and Matti Vuorinen},
  journal= {arXiv preprint arXiv:2304.04485},
  year   = {2024}
}

Comments

15 pages, 9 Figures

R2 v1 2026-06-28T09:57:01.105Z