Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

DOI10.1090/S0002-9947-2015-06111-XzbMath1317.53060arXiv1207.4924WikidataQ109745470 ScholiaQ109745470MaRDI QIDQ5247015

Tapio Rajala, Nicola Gigli, Andrea Mondino, Luigi Ambrosio

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4924

zbMATH Keywords

regularizationDirichlet formsheat flowmetric measure spacesbounded geometry\(\sigma\)-finite spaces

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Variational problems in a geometric measure-theoretic setting (49Q20) Dirichlet forms (31C25) 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) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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