Intrinsic flat convergence of points and applications to stability of the positive mass theorem

DOI10.1007/s00023-022-01158-0zbMath1496.53059arXiv2010.07885OpenAlexW4226254199WikidataQ113906341 ScholiaQ113906341MaRDI QIDQ2145155

Lan-Hsuan Huang, Dan A. Lee, Raquel Perales

Publication date: 17 June 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07885

zbMATH Keywords

Gromov-Hausdorff convergencepoint convergenceintrinsic flat volumelocally integral current spaces

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces ⋮ Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \(\mathbb{R}^n\)

Cites Work

• Smooth convergence away from singular sets
• Hypersurfaces with nonnegative scalar curvature
• The intrinsic flat distance between Riemannian manifolds and other integral current spaces
• The pointed flat compactness theorem, for locally integral currents
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Intrinsic flat Arzela-Ascoli theorems
• Stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
• Corrigendum to: ``Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
• Stability of graphical tori with almost nonnegative scalar curvature
• Relating notions of convergence in geometric analysis
• Errata to: ``Smooth convergence away from singular sets
• On the stability of the positive mass theorem for asymptotically hyperbolic graphs
• Contrasting various notions of convergence in geometric analysis
• Sobolev bounds and convergence of Riemannian manifolds
• Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
• Stability of the positive mass theorem for rotationally symmetric Riemannian manifolds
• Properties of the Null Distance and Spacetime Convergence
• The pointed intrinsic flat distance between locally integral current spaces

This page was built for publication: Intrinsic flat convergence of points and applications to stability of the positive mass theorem