Gromov hyperbolicity of Denjoy domains

DOI10.1007/s10711-006-9102-zzbMath1115.53030OpenAlexW2132594811MaRDI QIDQ861684

Eva Tourís, Ana Portilla, Venancio Alvarez, José M. Rodríguez

Publication date: 30 January 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6441

zbMATH Keywords

Riemann surfacetrainGromov hyperbolicitySchottky doubleflute surface

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Vector-valued measures and integration (46G10) Non-Euclidean differential geometry (53A35) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Riemann surfaces (30Fxx)

Related Items (15)

Gromov hyperbolicity in strong product graphs ⋮ On a classical theorem on the diameter and minimum degree of a graph ⋮ On the hyperbolicity constant in graphs ⋮ Additive spanners and distance and routing labeling schemes for hyperbolic graphs ⋮ Gromov hyperbolic cubic graphs ⋮ Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric ⋮ The topology of balls in Riemannian surfaces and Gromov hyperbolicity ⋮ Gromov hyperbolicity in lexicographic product graphs ⋮ A real variable characterization of Gromov hyperbolicity of flute surfaces ⋮ Twists and Gromov hyperbolicity of Riemann surfaces ⋮ A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs ⋮ Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics ⋮ Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics ⋮ Location of geodesics and isoperimetric inequalities in Denjoy domains ⋮ Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• Rough isometries and the parabolicity of Riemannian manifolds
• The Corona theorem for Denjoy domains
• Isoperimetric inequalities in Riemann surfaces of infinite type
• Elementary geometry in hyperbolic space
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Area growth and Green's function of Riemann surfaces
• \(p\)-harmonic functions on graphs and manifolds
• Geometric characterizations of Gromov hyperbolicity
• Gromov hyperbolicity through decomposition of metrics spaces. II
• The topology of balls and Gromov hyperbolicity of Riemann surfaces
• Quasi-geodesic segments and Gromov hyperbolic spaces
• Constructing pairs of pants
• Surfaces of nonpositive curvature
• Hyperbolic Structures for Surfaces of Infinite Type
• Rough Isometries and Dirichlet Finite Harmonic Functions on Graphs
• 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
• Manifolds of Negative Curvature
• Geometry and spectra of compact Riemann surfaces
• On harmonic functions on trees
• Estimates for nonlinear harmonic measures on trees

This page was built for publication: Gromov hyperbolicity of Denjoy domains