Curvature estimates and the positive mass theorem

DOI10.4310/CAG.2002.v10.n2.a3zbMath1030.53041arXivmath/9906047MaRDI QIDQ1866513

Felix Finster, Hubert L. Bray

Publication date: 7 April 2003

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

Full work available at URL: https://arxiv.org/abs/math/9906047

zbMATH Keywords

Dirac operatorspinormassasymptotically flat manifold

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (15)

Some Curvature Problems in Semi-Riemannian Geometry ⋮ A note on asymptotically flat metrics on ℝ³ which are scalar-flat and admit minimal spheres ⋮ Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space ⋮ Asymptotically hyperbolic manifolds with small mass ⋮ Stability of the PMT and RPI for asymptotically hyperbolic manifolds foliated by IMCF ⋮ Near-equality of the Penrose inequality for rotationally symmetric Riemannian manifolds ⋮ Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry ⋮ On the positive mass theorem for manifolds with corners ⋮ IMCF and the stability of the PMT and RPI under \(L^2\) convergence ⋮ Sobolev stability of the positive mass theorem and Riemannian Penrose inequality using inverse mean curvature flow ⋮ Stability of the positive mass theorem for graphical hypersurfaces of Euclidean space ⋮ On the stability of the positive mass theorem for asymptotically hyperbolic graphs ⋮ The linear dynamics of wave functions in causal fermion systems ⋮ Stability of the positive mass theorem for axisymmetric manifolds ⋮ Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space

This page was built for publication: Curvature estimates and the positive mass theorem