Hyperbolizing metric spaces

DOI10.1090/S0002-9939-2011-10857-8zbMath1244.30066OpenAlexW2088486639MaRDI QIDQ3104461

Zair Ibragimov

Publication date: 13 December 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10857-8

zbMATH Keywords

metric spacesquasihyperbolic metricGromov hyperbolicity

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geometric function theory (30C99)

Related Items (11)

Comparison between a Gromov hyperbolic metric and the hyperbolic metric ⋮ Gromov hyperbolicity of the 𝑗̃_{𝐺} metric and boundary correspondence ⋮ Comparison and Möbius quasi-invariance properties of Ibragimov's metric ⋮ On the asymptotically \(\mathrm{PT}_{-1}\) spaces ⋮ MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ Geometric properties of the triangular ratio metric and related metrics ⋮ Geometries induced by logarithmic oscillations as examples of Gromov hyperbolic spaces ⋮ A Gromov hyperbolic metric vs the hyperbolic and other related metrics ⋮ Unnamed Item ⋮ One-point hyperbolic-type metrics

Cites Work

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• Hyperbolizing hyperspaces
• Uniform domains and the quasi-hyperbolic metric
• Quasiconformally homogeneous domains
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity of the $j_G$ and ${\tilde \jmath }_G$ metrics

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