Some remarks on the Cassinian metric

DOI10.5486/PMD.2017.7386zbMath1399.51009arXiv1504.01923OpenAlexW1832577878MaRDI QIDQ4608347

Xiao-Hui Zhang, Parosa Hariri, Riku Klén, Matti Vuorinen

Publication date: 16 March 2018

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01923

zbMATH Keywords

hyperbolic metricCassinian metricdistance ratio metrictriangular ratio metric

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (11)

Intrinsic metrics in ring domains ⋮ Triangular ratio metric in the unit disk ⋮ The Ptolemy-Alhazen problem and spherical mirror reflection ⋮ Inclusion properties of the triangular ratio metric balls ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ Barrlund's distance function and quasiconformal maps ⋮ Remarks on the scale-invariant Cassinian metric ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Intrinsic quasi-metrics ⋮ Möbius invariant Cassinian metric ⋮ Metrics and quasimetrics induced by point pair function

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