New Examples Satisfying Ma–Trudinger–Wang Conditions

DOI10.1137/110820543zbMath1243.58007arXiv0911.3978OpenAlexW2003217029MaRDI QIDQ2882309

Jiayong Li, Paul W. Y. Lee

Publication date: 4 May 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3978

zbMATH Keywords

optimal transportationcost functionsmanifolds of constant sectional curvatureMa-Trudinger-Wang conditions

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Variational problems in a geometric measure-theoretic setting (49Q20) Integration on manifolds; measures on manifolds (58C35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

A glimpse into the differential topology and geometry of optimal transport ⋮ Regularity of optimal transport maps on locally nearly spherical manifolds ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations

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