A scale-invariant Cassinian metric

DOI10.1007/s41478-016-0018-1zbMath1372.30045OpenAlexW2552469948MaRDI QIDQ524750

Zair Ibragimov

Publication date: 3 May 2017

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-016-0018-1

zbMATH Keywords

Möbius transformationshyperbolic metricCassinian metric\(\tilde{j}\)-metric\(j\)-metrichalf-Apollonian metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (10)

MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC ⋮ A scale-invariant Cassinian metric ⋮ Remarks on the scale-invariant Cassinian metric ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Averaging one-point hyperbolic-type metrics ⋮ One-point hyperbolic-type metrics ⋮ Möbius invariant Cassinian metric ⋮ Strongly hyperbolic metrics on Ptolemy spaces ⋮ A new intrinsic metric on metric spaces ⋮ Hyperbolic metrics on open subsets of Ptolemaic spaces with sharp parameter bounds

Cites Work

• A scale-invariant Cassinian metric
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• Isometries of the Half-Apollonian Metric
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