Asymptotically hyperbolic manifolds with small mass

DOI10.1007/s00220-013-1827-6zbMath1296.53064arXiv1209.0154OpenAlexW2076414219WikidataQ125888331 ScholiaQ125888331MaRDI QIDQ393721

Mattias Dahl, Romain Gicquaud, Anna Sakovich

Publication date: 24 January 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0154

zbMATH Keywords

spin manifoldpositive mass theoremasymptotically hyperbolic manifold

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Stability of the PMT and RPI for asymptotically hyperbolic manifolds foliated by IMCF ⋮ Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry ⋮ On the asymptotic behavior of static perfect fluids ⋮ Sobolev stability of the positive mass theorem and Riemannian Penrose inequality using inverse mean curvature flow ⋮ 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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