Isoperimetric-type inequalities on constant curvature manifolds

DOI10.1515/acv.2011.014zbMath1250.58008OpenAlexW2317142650WikidataQ112632016 ScholiaQ112632016MaRDI QIDQ2903475

Alessio Figalli, Yuxin Ge

Publication date: 10 August 2012

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2011.014

zbMATH Keywords

optimal transportGromov's proof of the isoperimetric inequality

Mathematics Subject Classification ID

Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (4)

The spherical convex floating body ⋮ Existence of self-Cheeger sets on Riemannian manifolds ⋮ Unbounded periodic constant mean curvature graphs on calibrable Cheeger Serrin domains ⋮ Submanifolds, isoperimetric inequalities and optimal transportation

Cites Work

• A mass transportation approach to quantitative isoperimetric inequalities
• A convexity principle for interacting gases
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Microstructures with finite surface energy: The two-well problem
• Existence and uniqueness of monotone measure-preserving maps
• Polar factorization and monotone rearrangement of vector‐valued functions
• Some regularity properties of solutions of Monge Ampère equation
• Inégalité de Prékopa—Leindler sur la sphère
• Existence, Uniqueness, and Regularity of Optimal Transport Maps
• Die Brunn‐Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I
• Die Brunn‐Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. II
• Polar factorization of maps on Riemannian manifolds
• Optimal transportation on non-compact manifolds

This page was built for publication: Isoperimetric-type inequalities on constant curvature manifolds