Curvature bounds for configuration spaces

DOI10.1007/s00526-014-0790-1zbMath1335.53047arXiv1405.5734OpenAlexW2962757969MaRDI QIDQ493185

Matthias Erbar, Martin Huesmann

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5734

zbMATH Keywords

configuration spaceRicci curvaturesectional curvatureoptimal transportgeodesic convexityevolution variational inequalityBochner's inequalityWasserstein contractivity

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Spaces of measures, convergence of measures (28A33) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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