The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space

DOI10.1002/CPA.21949zbMath1496.46029arXiv1908.10360OpenAlexW3091423981WikidataQ114238008 ScholiaQ114238008MaRDI QIDQ5072039

Simon Brendle

Publication date: 25 April 2022

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10360

zbMATH Keywords

logarithmic Sobolev inequalitysubmanifold

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space ⋮ The log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature ⋮ The logarithmic Sobolev inequality for a submanifold in manifolds with asymptotically nonnegative sectional curvature ⋮ A sharp Sobolev principle on the graphic submanifolds of \(\mathbb{R}^{n+m}\) ⋮ Minimal hypersurfaces and geometric inequalities ⋮ The relative isoperimetric inequality for minimal submanifolds with free boundary in the Euclidean space

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