Optimal Transport and Curvature

DOI10.1007/978-3-642-21861-3_4zbMath1247.53003OpenAlexW130251911WikidataQ112632029 ScholiaQ112632029MaRDI QIDQ2909957

Cédric Villani, Alessio Figalli

Publication date: 7 September 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-21861-3_4

zbMATH Keywords

Gromov-Hausdorff convergenceMonge problemquadratic costlength spacesRicci boundsMa-Trudinger-Wang tensorc-convexity2-Wasserstein spacec-subdifferential

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Mathematical programming (90C99) Existence theories in calculus of variations and optimal control (49J99)

Related Items (5)

LOWER TAIL INDEPENDENCE OF HITTING TIMES OF TWO-DIMENSIONAL DIFFUSIONS ⋮ The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow ⋮ Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow ⋮ Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras ⋮ Regularization with metric double integrals of functions with values in a set of vectors

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