On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

DOI10.1007/s00222-014-0563-7zbMath1329.53059arXiv1303.4382OpenAlexW1984602567MaRDI QIDQ496211

Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm

Publication date: 21 September 2015

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4382

zbMATH Keywords

Bochner's inequalitycurvature-dimension conditionsRiemann curvature condition

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Spaces of measures, convergence of measures (28A33)

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