Isoperimetric inequalities in unbounded convex bodies

DOI10.1090/memo/1354zbMath1503.52002arXiv1606.03906OpenAlexW4214681511MaRDI QIDQ5063342

Efstratios Vernadakis, Manuel Ritoré, Gian Paolo Leonardi

Publication date: 17 March 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03906

zbMATH Keywords

rigidityisoperimetric inequalitiesconvex bodiesisoperimetric profileisoperimetric regionsisoperimetric dimensionasymptotic cylinders

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (6)

The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains ⋮ The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis ⋮ The limit point in the Jante's law process has an absolutely continuous distribution ⋮ A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets ⋮ Isoperimetric inequalities in conically bounded convex bodies

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