Stability of the injectivity radius under quasi-isometries and applications to isoperimetric inequalities

DOI10.1007/s13398-017-0417-4zbMath1401.30051OpenAlexW2738213669WikidataQ121924927 ScholiaQ121924927MaRDI QIDQ1800625

Ana Portilla, Ana Granados, Domingo Pestana, Eva Tourís, José M. Rodríguez

Publication date: 24 October 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0417-4

zbMATH Keywords

Riemann surfacesquasi-isometries

Mathematics Subject Classification ID

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

Related Items (6)

Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs ⋮ Stability of p‐parabolicity under quasi‐isometries ⋮ Isoperimetric inequalities in Riemann surfaces and graphs ⋮ A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs ⋮ Stability of the volume growth rate under quasi-isometries ⋮ On \(p\)-parabolicity of Riemannian manifolds and graphs

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• Gromov hyperbolicity through decomposition of metric spaces
• Two remarks on Riemann surfaces
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• Quasi-isometries and isoperimetric inequalities in planar domains
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