John disks, the Apollonian metric, and min-max properties

DOI10.1007/s12044-010-0002-7zbMath1188.30055OpenAlexW2032445951MaRDI QIDQ968063

B. E. Eshmatov

Publication date: 3 May 2010

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-010-0002-7

zbMATH Keywords

quasihyperbolic metricinternal distancemin-max propertyApollonian metricJohn disk

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Cites Work

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• Uniform domains and the quasi-hyperbolic metric
• Quasiconformally homogeneous domains
• Rotation and strain
• On reflections in Jordan curves
• Quasihyperbolic geodesics in John domains.
• Remarks on uniform and quasiconformal extension domains
• Injectivity theorems in plane and space
• Harmonic measure and hyperbolic distance in John disks
• John domains and the quasihyperbolic metric

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