Isoperimetric inequalities in Riemann surfaces and graphs

DOI10.1007/s12220-020-00407-0zbMath1469.53080arXiv1806.04619OpenAlexW3017369838MaRDI QIDQ2024680

Álvaro Martínez-Pérez, José M. Rodríguez

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04619

zbMATH Keywords

isoperimetric inequalityRiemann surfacePoincaré metricGromov hyperbolicityCheeger isoperimetric constant

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

Stability of p‐parabolicity under quasi‐isometries ⋮ Parabolicity on 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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