Global regularity of three-dimensional Ricci limit spaces

DOI10.1090/btran/47zbMath1497.53089arXiv1803.00414OpenAlexW2792912057MaRDI QIDQ5086110

Andrew D. McLeod, Peter Miles Topping

Publication date: 1 July 2022

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

Full work available at URL: https://arxiv.org/abs/1803.00414

zbMATH Keywords

regularitylocal pyramid Ricci flowspointed Gromov-Hausdorff convergenceRicci limit

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Second-order parabolic systems (35K40) Ricci flows (53E20)

Related Items (3)

Optimal diameter estimate of three-dimensional Ricci limit spaces ⋮ Geometry of positive scalar curvature on complete manifold ⋮ Small curvature concentration and Ricci flow smoothing

Cites Work

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• Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics
• On the structure of spaces with Ricci curvature bounded below. I
• Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
• Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
• Pyramid Ricci flow in higher dimensions
• Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below
• A Compactness Property for Solutions of the Ricci Flow
• Ricci flows with unbounded curvature

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