Quasihyperbolic geodesics are cone arcs

DOI10.1007/s12220-023-01448-xzbMath1526.30031MaRDI QIDQ6084639

Qingshan Zhou, Saminathan Ponnusamy

Publication date: 6 November 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Gromov hyperbolic spacequasihyperbolic geodesiccentered John metric space

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Cites Work

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• The quasiconformal subinvariance property of John domains in \({\mathbb {R}}^n\) and its applications
• Quasiconformal mappings onto John domains
• Uniform domains and the quasi-hyperbolic metric
• Quasiconformally homogeneous domains
• John disks and \(K\)-quasiconformal harmonic mappings
• Geometric characterizations of Gromov hyperbolic Hölder domains
• Gromov hyperbolicity, John spaces, and quasihyperbolic geodesics
• Teichmüller's problem for Gromov hyperbolic domains
• Neargeodesics in John domains in Banach spaces
• Uniform continuity of quasiconformal mappings onto generalized John domains
• Rotation and strain
• Quasihyperbolic geodesics in John domains.
• Gromov hyperbolicity in the free quasiworld. I
• Some remarks on the Gehring–Hayman theorem

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