Leaves decompositions in Euclidean spaces

DOI10.1016/j.matpur.2021.08.003zbMath1472.52005arXiv2108.07193OpenAlexW3195283049WikidataQ114148609 ScholiaQ114148609MaRDI QIDQ1983092

Krzysztof J. Ciosmak

Publication date: 15 September 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07193

zbMATH Keywords

localisationLipschitz mapconditional measuresMonge-Kantorovich problemcurvature-dimension condition

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Variational problems in a geometric measure-theoretic setting (49Q20) Metric geometry (51F99) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Integration and disintegration of measures (28A50)

Related Items (4)

Continuity of extensions of Lipschitz maps ⋮ Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions ⋮ Optimal transport of vector measures ⋮ Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures

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