The topology of balls and Gromov hyperbolicity of Riemann surfaces

DOI10.1016/j.difgeo.2004.05.006zbMath1070.30019OpenAlexW1987444243WikidataQ115358018 ScholiaQ115358018MaRDI QIDQ1886840

Ana Portilla, José M. Rodríguez, Eva Tourís

Publication date: 19 November 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6463

zbMATH Keywords

Riemann surfaceGromov hyperbolicityFunnelPuncture

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Classification theory of Riemann surfaces (30F20)

Related Items (15)

Gromov hyperbolicity of Denjoy domains ⋮ Gromov hyperbolicity of Riemann surfaces ⋮ On a classical theorem on the diameter and minimum degree of a graph ⋮ 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 ⋮ Gromov hyperbolicity through decomposition of metrics spaces. II ⋮ A real variable characterization of Gromov hyperbolicity of flute surfaces ⋮ Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces ⋮ Twists and Gromov hyperbolicity of Riemann surfaces ⋮ Isoperimetric inequalities in Riemann surfaces 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
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• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• Gromov hyperbolicity of Riemann surfaces
• Rough isometries and the parabolicity of Riemannian manifolds
• Bounding homotopy types by geometry
• Isoperimetric inequalities in Riemann surfaces of infinite type
• Curvature, diameter and Betti numbers
• Erratum: Geometric finiteness theorems via controlled topology
• 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
• Cylinders in Riemann surfaces
• Isoperimetric inequalities and Dirichlet functions of Riemann surfaces
• On the critical exponent of a discrete group of hyperbolic isometries
• \(p\)-harmonic functions on graphs and manifolds
• Related aspects of positivity in Riemannian geometry
• Gromov hyperbolicity through decomposition of metric spaces
• Two remarks on Riemann surfaces
• On discontinuous groups operating on the product of the upper half planes
• The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
• Rough Isometries and Dirichlet Finite Harmonic Functions on Graphs
• Finiteness Theorems for Riemannian Manifolds
• Geometry and spectra of compact Riemann surfaces
• On harmonic functions on trees
• Estimates for nonlinear harmonic measures on trees

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