Equality in Borell-Brascamp-Lieb inequalities on curved spaces

DOI10.1016/j.aim.2018.09.041zbMath1402.49035arXiv1704.04180OpenAlexW2963747906MaRDI QIDQ1989710

Alexandru Kristály, Zoltán M. Balogh

Publication date: 29 October 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04180

zbMATH Keywords

Riemannian manifoldBrunn-Minkowski inequalityoptimal mass transportationBorell-Brascamp-Lieb inequalityPrékopa-Leindler inequalityequality case

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Rigidity results (53C24) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Functional inequalities, including subadditivity, convexity, etc. (39B62) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

The Riemannian quantitative isoperimetric inequality ⋮ Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature ⋮ Strengthened inequalities for the mean width and the ℓ‐norm ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ Equality in the logarithmic Sobolev inequality

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