On the apollonian metric of domains in

DOI10.1080/02781070310001015107zbMath1043.30026OpenAlexW1868803517MaRDI QIDQ4444045

Zair Ibragimov

Publication date: 25 February 2004

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070310001015107

zbMATH Keywords

Apollonian metricSets of constant width

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (16)

Conformality of the Apollonian metric ⋮ MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC ⋮ Geometry of the Cassinian metric and its inner metric ⋮ A scale-invariant Cassinian metric ⋮ Revisiting the foundations of Barbilian's metrization procedure ⋮ The Apollonian inner metric and uniform domains ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Averaging one-point hyperbolic-type metrics ⋮ Barbilian spaces: the history of a geometric idea ⋮ Barbilian’s metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics ⋮ One-point hyperbolic-type metrics ⋮ Möbius invariant Cassinian metric ⋮ Strongly hyperbolic metrics on Ptolemy spaces ⋮ Local convexity properties of balls in Apollonian and Seittenranta’s metrics ⋮ A new intrinsic metric on metric spaces ⋮ Apollonian isometries of planar domains are Möbius mappings

This page was built for publication: On the apollonian metric of domains in