On the smoothness of the potential function in Riemannian optimal transport

DOI10.4310/CAG.2015.V23.N1.A2zbMATH Open1310.53036OpenAlexW2101404886WikidataQ115205273 ScholiaQ115205273MaRDI QIDQ487960

Philippe Delanoë

Publication date: 23 January 2015

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2015.v23.n1.a2

zbMATH Keywords

a priori estimatescost functionalprobability measureBorel map

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08) Length, area, volume, other geometric measure theory (28A75) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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