Isoperimetric inequalities in Riemann surfaces of infinite type

DOI10.4171/RMI/260zbMath0935.30028OpenAlexW2055849410MaRDI QIDQ1125262

José M. Rodríguez, Domingo Pestana, Venancio Alvarez

Publication date: 9 May 2000

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39570

zbMATH Keywords

isoperimetric inequalityFuchsian grouphyperbolic geometryDenjoy domains

Mathematics Subject Classification ID

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

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The topology of balls and Gromov hyperbolicity of Riemann surfaces ⋮ Gromov hyperbolicity of Denjoy domains ⋮ Gromov hyperbolicity of Riemann surfaces ⋮ Stability of p‐parabolicity under quasi‐isometries ⋮ An estimate for the hyperbolic lengths of closed geodesics on Riemann surfaces II ⋮ Parabolicity on graphs ⋮ Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric ⋮ The topology of balls in Riemannian surfaces and Gromov hyperbolicity ⋮ Hardy's inequalities with remainders and Lamb-type equations ⋮ Conformal invariants of hyperbolic planar domains ⋮ Selected results and open problems on Hardy-Rellich and Poincaré-Friedrichs inequalities ⋮ A real variable characterization of Gromov hyperbolicity of flute surfaces ⋮ Multidimensional Hardy type inequalities with remainders ⋮ A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs ⋮ Location of geodesics and isoperimetric inequalities in Denjoy domains ⋮ Hardy type inequalities and parametric Lamb equation ⋮ Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity

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