A weakly second-order differential structure on rectifiable metric measure spaces

DOI10.2140/gt.2014.18.633zbMath1286.53045arXiv1112.0099OpenAlexW2033866183WikidataQ115231046 ScholiaQ115231046MaRDI QIDQ2441275

Shouhei Honda

Publication date: 24 March 2014

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0099

zbMATH Keywords

Ricci curvaturegeometric measure theoryGromov-Hausdorff convergence

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) 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 (13)

Spectral convergence under bounded Ricci curvature ⋮ Ricci measure for some singular Riemannian metrics ⋮ Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces ⋮ Synthetic theory of Ricci curvature bounds ⋮ Singular Weyl’s law with Ricci curvature bounded below ⋮ Ricci curvature and orientability ⋮ Angles between curves in metric measure spaces ⋮ Bakry-Émery conditions on almost smooth metric measure spaces ⋮ Elliptic PDEs on Compact Ricci Limit Spaces and Applications ⋮ On the spaces with Ricci curvature bounds ⋮ Lichnerowicz-Obata estimate, almost parallel \(p\)-form and almost product manifolds ⋮ Collapsed Ricci limit spaces as non-collapsed RCD spaces ⋮ Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption

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