The Apollonian metric: limits of the comparison and bilipschitz properties

DOI10.1155/S1085337503309042zbMath1067.30082OpenAlexW1979547160MaRDI QIDQ1773486

Peter A. Hästö

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51464

zbMATH Keywords

geometric function theoryconformal metrics hyperbolic

Mathematics Subject Classification ID

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

Related Items (6)

Revisiting the foundations of Barbilian's metrization procedure ⋮ Equivalence of the Apollonian and its inner metric ⋮ The Apollonian inner metric and uniform domains ⋮ Barbilian spaces: the history of a geometric idea ⋮ Barbilian’s metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics ⋮ Apollonian isometries of planar domains are Möbius mappings

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