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Comparison between a Gromov hyperbolic metric and the hyperbolic metric

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Publication:1634280
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DOI10.1007/s40315-018-0247-1zbMath1404.30048OpenAlexW2805637499MaRDI QIDQ1634280

Xiao-Hui Zhang

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1007/s40315-018-0247-1


zbMATH Keywords

hyperbolic metricGromov hyperbolic metric


Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)


Related Items (5)

Comparison and Möbius quasi-invariance properties of Ibragimov's metric ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ Geometric properties of the triangular ratio metric and related metrics ⋮ Remarks on the scale-invariant Cassinian metric ⋮ A new intrinsic metric on metric spaces




Cites Work

  • Unnamed Item
  • Conformal geometry and quasiregular mappings
  • A Gromov hyperbolic metric vs the hyperbolic and other related metrics
  • Hyperbolizing metric spaces
  • Averaging one-point hyperbolic-type metrics




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