The isoperimetric profile of infinite genus surfaces
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Publication:605064
DOI10.1007/S10711-010-9468-9zbMath1225.53036OpenAlexW2069450750MaRDI QIDQ605064
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
profileinequalitysurfacesgluingisoperimetric profileexpander graphsisoperimetricsimplicial triangulation
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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- 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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