Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

DOI10.1016/j.aim.2020.107327zbMath1447.30007arXiv1902.00942OpenAlexW3046793062WikidataQ115361995 ScholiaQ115361995MaRDI QIDQ2196630

Bang-Xian Han

Publication date: 3 September 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00942

zbMATH Keywords

metric measure spaceoptimal transportcurvature-dimension conditionBakry-Émery theoryRiemann manifold with boundary

Mathematics Subject Classification ID

Analysis on metric spaces (30L99)

Related Items (8)

Boundary regularity and stability for spaces with Ricci bounded below ⋮ Isoperimetric sets in spaces with lower bounds on the Ricci curvature ⋮ On the structure of RCD spaces with upper curvature bounds ⋮ On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ Heat kernel bounds and Ricci curvature for Lipschitz manifolds ⋮ On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces ⋮ Weakly non-collapsed RCD spaces are strongly non-collapsed

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