Location of geodesics and isoperimetric inequalities in Denjoy domains

DOI10.1017/S0013091509000686zbMath1243.30087OpenAlexW2006911367MaRDI QIDQ3116830

José M. Rodríguez, José María Sigarreta-Almira

Publication date: 12 February 2012

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

Full work available at URL: https://doi.org/10.1017/s0013091509000686

zbMATH Keywords

geodesicPoincaré metriclinear isoperimetric inequalityquasi-geodesicchord-arcDenjoy domain

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geodesics in global differential geometry (53C22) Geometric function theory (30C99)

Cites Work

• Gromov hyperbolicity of Denjoy domains
• A new characterization of Gromov hyperbolicity for negatively curved surfaces
• Gromov hyperbolicity of Riemann surfaces
• A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
• The Corona theorem for Denjoy domains
• Isoperimetric inequalities in Riemann surfaces of infinite type
• Quasi-modes sur les variétés Riemanniennes
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Geometric characterizations of Gromov hyperbolicity
• Gromov hyperbolicity through decomposition of metrics spaces. II
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity through decomposition of metric spaces
• The topology of balls and Gromov hyperbolicity of Riemann surfaces
• Quasi-geodesic segments and Gromov hyperbolic spaces
• Gromov hyperbolic spaces
• Gromov hyperbolicity of the $j_G$ and ${\tilde \jmath }_G$ metrics
• Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics
• The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
• Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains
• A reflection principle for the hyperbolic metric and applications to geometric function theory
• The Poincaré Metric of Plane Domains
• An estimate on the distortion of the logarithmic capacity
• Positive harmonic functions of finite order in a Denjoy type domain
• THE ROLE OF FUNNELS AND PUNCTURES IN THE GROMOV HYPERBOLICITY OF RIEMANN SURFACES

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