New differential operator and noncollapsed RCD spaces

DOI10.2140/gt.2020.24.2127zbMath1452.53041arXiv1905.00123OpenAlexW2943444158WikidataQ125352899 ScholiaQ125352899MaRDI QIDQ2211895

Shouhei Honda

Publication date: 17 November 2020

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

Full work available at URL: https://arxiv.org/abs/1905.00123

zbMATH Keywords

Ricci curvatureLaplacianmetric measure space

Mathematics Subject Classification ID

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 (17)

Boundary regularity and stability for spaces with Ricci bounded below ⋮ On the structure of RCD spaces with upper curvature bounds ⋮ An upper bound on the revised first Betti number and a torus stability result for \textsf{RCD} spaces ⋮ Singular Weyl’s law with Ricci curvature bounded below ⋮ Quasiconformal mappings and curvatures on metric measure spaces ⋮ Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ A note on the topological stability theorem from RCD spaces to Riemannian manifolds ⋮ Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound ⋮ The metric measure boundary of spaces with Ricci curvature bounded below ⋮ Ricci curvature in dimension 2 ⋮ Removable sets and \(L^p\)-uniqueness on manifolds and metric measure spaces ⋮ Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Collapsed Ricci limit spaces as non-collapsed RCD spaces ⋮ Sphere theorems for RCD and stratified spaces ⋮ On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces ⋮ Isometric immersions of RCD spaces ⋮ Weakly non-collapsed RCD spaces are strongly non-collapsed

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