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Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space

  • Published:2017-01-01 Issue:727 Volume:2017 Page:
  • ISSN:0075-4102
  • Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
  • language:
  • Short-container-title:

Author:

Huang Lan-Hsuan,Lee Dan A.,Sormani Christina

Abstract

AbstractThe rigidity of the Positive Mass Theorem states that the only complete asymptotically flat manifold of nonnegative scalar curvature and

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference44 articles.

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1. From $$L^p$$ bounds to Gromov–Hausdorff convergence of Riemannian manifolds;Geometriae Dedicata;2024-01-03

2. Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds;General Relativity and Gravitation;2023-11

3. Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-11-01

4. Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into Rn;Journal of Mathematical Analysis and Applications;2023-10

5. The Yamabe Problem for Distributional Curvature;The Journal of Geometric Analysis;2023-07-17
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