The isoperimetric profile of infinite genus surfaces

DOI10.1007/S10711-010-9468-9zbMath1225.53036OpenAlexW2069450750MaRDI QIDQ605064

Procopis Psaltis

Publication date: 23 November 2010

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

Full work available at URL: https://doi.org/10.1007/s10711-010-9468-9

zbMATH Keywords

profileinequalitysurfacesgluingisoperimetric profileexpander graphsisoperimetricsimplicial triangulation

Mathematics Subject Classification ID

Geometric group theory (20F65) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (3)

Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ A surface with discontinuous isoperimetric profile and expander manifolds ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds

Cites Work

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• Filling and surfaces of revolution.
• Constant geodesic curvature curves and isoperimetric domains in rotationally symmetric surfaces
• The isoperimetric problem in complete surfaces of nonnegative curvature.
• Equivalence of geometric and combinatorial Dehn functions.
• A new isoperimetric comparison theorem for surfaces of variable curvature
• Cheeger constants of surfaces and isoperimetric inequalities
• Mean curvature flow and geometric inequalities
• The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature

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