Möbius-invariant metrics

DOI10.1017/S0305004198002904zbMath0917.30015OpenAlexW2143670734MaRDI QIDQ4238782

Pasi Seittenranta

Publication date: 5 August 1999

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004198002904

zbMATH Keywords

hyperbolic metriccross ratioconformally invariant metrics

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (32)

Intrinsic metrics in ring domains ⋮ On quasi-inversions ⋮ Local convexity of metric balls ⋮ Comparison and Möbius quasi-invariance properties of Ibragimov's metric ⋮ Hyperbolic type distances in starlike domains ⋮ Uniform domains, John domains and quasi-isotropic domains ⋮ 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 ⋮ Inequalities of generalized hyperbolic metrics ⋮ The visual angle metric and Möbius transformations ⋮ A new weighted metric: the relative metric. II ⋮ Equivalence of the Apollonian and its inner metric ⋮ Isometries of relative metrics ⋮ Remarks on the scale-invariant Cassinian metric ⋮ The Apollonian inner metric and uniform domains ⋮ Modular equations and distortion functions ⋮ Quasiisometric mappings in the distance ratio metric in Banach spaces ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Averaging one-point hyperbolic-type metrics ⋮ Coarsely bilipschitz continuity of inversions with respect to distance ratio metrics in metric spaces ⋮ Apollonian metric, uniformity and Gromov hyperbolicity ⋮ Uniform domains and hyperbolic distance ⋮ 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 ⋮ Quasihyperbolic metric and Möbius transformations ⋮ A new weighted metric: the relative metric. I ⋮ Conformally invariant complete metrics ⋮ Möbius metric in sector domains

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