Geometries induced by logarithmic oscillations as examples of Gromov hyperbolic spaces

DOI10.1007/s40840-017-0479-7zbMath1373.53056OpenAlexW2594613485MaRDI QIDQ523217

Wladimir G. Boskoff, Bogdan Dragos Suceavă

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0479-7

zbMATH Keywords

Hilbert distancechordal distanceGromov productBarbilian distanceGromov hyperbolic metricslogarithmic oscilationPoincaré distancestabilizing distanceVuorinen's metric

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) General theory of distance geometry (51K05) Semimetric spaces (54E25)

Cites Work

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• Conformal invariants and quasiregular mappings
• Uniform domains and the quasi-hyperbolic metric
• The Hilbert metric and Gromov hyperbolicity.
• Hyperbolizing metric spaces
• Gromov hyperbolicity of the $j_G$ and ${\tilde \jmath }_G$ metrics
• Encyclopedia of Distances

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