Smooth convergence away from singular sets

DOI10.4310/CAG.2013.v21.n1.a2zbMath1272.53032arXiv1202.0875MaRDI QIDQ357205

Sajjad Lakzian, Christina Sormani

Publication date: 30 July 2013

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0875

zbMATH Keywords

Gromov-Hausdorff convergencemetric completion

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)

Related Items (14)

On diameter controls and smooth convergence away from singularities ⋮ Intrinsic flat convergence of points and applications to stability of the positive mass theorem ⋮ Intrinsic flat convergence of covering spaces ⋮ Near-equality of the Penrose inequality for rotationally symmetric Riemannian manifolds ⋮ Sobolev inequalities and convergence for Riemannian metrics and distance functions ⋮ Intrinsic flat continuity of Ricci flow through neckpinch singularities ⋮ An extreme limit with nonnegative scalar curvature ⋮ Sewing Riemannian manifolds with positive scalar curvature ⋮ Properties of the Intrinsic Flat Distance ⋮ The nonlinear stability of rotationally symmetric spaces with low regularity ⋮ Stability of the spacetime positive mass theorem in spherical symmetry ⋮ Contrasting various notions of convergence in geometric analysis ⋮ Sobolev bounds and convergence of Riemannian manifolds ⋮ Lorentzian area and volume estimates for integral mean curvature bounds

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