The Apollonian inner metric
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Publication:1769353
DOI10.4310/CAG.2004.V12.N4.A7zbMath1146.30025MaRDI QIDQ1769353
Publication date: 21 March 2005
Published in: Communications in Analysis and Geometry (Search for Journal in Brave)
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)
Related Items (9)
A uniform contraction principle for bounded Apollonian embeddings ⋮ Uniform domains, John domains and quasi-isotropic domains ⋮ Decomposition and removability properties of John domains ⋮ 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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