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The Apollonian metric: quasi-isotropy and Seittenranta's metric

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Publication:558479
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zbMath1073.30036MaRDI QIDQ558479

Peter A. Hästö

Publication date: 6 July 2005

Published in: Computational Methods and Function Theory (Search for Journal in Brave)


zbMATH Keywords

Apollonian metricSeittenranta's metric


Mathematics Subject Classification ID

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


Related Items (8)

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 ⋮ Apollonian metric, uniformity and Gromov hyperbolicity ⋮ Barbilian’s metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics ⋮ Local convexity properties of balls in Apollonian and Seittenranta’s metrics ⋮ A new intrinsic metric on metric spaces






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