Uniform tail-decay of Lipschitz functions implies Cheeger's isoperimetric inequality under convexity assumptions

DOI10.1016/j.crma.2008.07.022zbMath1154.49029OpenAlexW1975755397MaRDI QIDQ950134

Emanuel Milman

Publication date: 22 October 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.07.022

zbMATH Keywords

Riemannian manifoldsCheeger's isoperimetric inequalityexponential concentration of Lipschitz functionsspectral-gap of the Neumann Laplacian

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Isoperimetric problems for polytopes (52B60)

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Cites Work

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