Inclusion properties of the triangular ratio metric balls

DOI10.1007/s41980-023-00837-warXiv2207.01495OpenAlexW4389195426MaRDI QIDQ6185745

Oona Rainio

Publication date: 30 January 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.01495

zbMATH Keywords

hyperbolic geometryhyperbolic metricdistance ratio metricmetric ballstriangular ratio metric

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

• A new weighted metric: the relative metric. I
• Intrinsic quasi-metrics
• The dual Brunn-Minkowski inequalities in spherical and hyperbolic spaces
• Intrinsic metrics in ring domains
• Area problem for univalent functions in the unit disk with quasiconformal extension to the plane
• Inequalities and bi-Lipschitz conditions for the triangular ratio metric
• The Ptolemy-Alhazen problem and spherical mirror reflection
• Metric and periodic lines in the Poincaré ball model of hyperbolic geometry
• Inclusion relations of hyperbolic type metric balls II
• Balls in the Triangular Ratio Metric
• Lipschitz conditions, triangular ratio metric, and quasiconformal maps
• Some remarks on the Cassinian metric
• Triangular ratio metric in the unit disk
• Intrinsic metrics under conformal and quasiregular mappings
• Conformally Invariant Metrics and Quasiconformal Mappings
• Inclusion relations of hyperbolic type metric balls
• Triangular ratio metric under quasiconformal mappings in sector domains

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