Strong displacement convexity on Riemannian manifolds

DOI10.1007/s00209-007-0124-5zbMath1125.53026OpenAlexW1980628644WikidataQ112632394 ScholiaQ112632394MaRDI QIDQ2642269

Alessio Figalli, Cédric Villani

Publication date: 20 August 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0124-5

zbMATH Keywords

Ricci curvatureweak convexitystrong displacement convexity

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature ⋮ Local Poincaré inequalities from stable curvature conditions on metric spaces ⋮ Finsler interpolation inequalities

Cites Work

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• Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Ricci curvature for metric-measure spaces via optimal transport
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• Transport inequalities, gradient estimates, entropy and Ricci curvature
• Optimal transportation on non-compact manifolds

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