Stability of the positive mass theorem for graphical hypersurfaces of Euclidean space

DOI10.1007/s00220-014-2265-9zbMath1321.53036arXiv1405.0640OpenAlexW3098479886MaRDI QIDQ2018336

Lan-Hsuan Huang, Dan A. Lee

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0640

zbMATH Keywords

nonnegative scalar curvaturepositive mass theorem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Applications of global differential geometry to the sciences (53C80) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Intrinsic flat convergence of points and applications to stability of the positive mass theorem ⋮ Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space ⋮ Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \(\mathbb{R}^n\) ⋮ Stability of graphical tori with almost nonnegative scalar curvature ⋮ Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry ⋮ Almost non-negative scalar curvature on Riemannian manifolds conformal to tori ⋮ On the stability of the positive mass theorem for asymptotically hyperbolic graphs ⋮ Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space

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