Superharmonic functions in \(\mathbb{R}^n\) and the Penrose inequality in general relativity
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Publication:1811412
DOI10.4310/CAG.2002.v10.n5.a5zbMath1035.31002WikidataQ125985848 ScholiaQ125985848MaRDI QIDQ1811412
Publication date: 2002
Published in: Communications in Analysis and Geometry (Search for Journal in Brave)
Black holes (83C57) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Gravitational energy and conservation laws; groups of motions (83C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (8)
Penrose-type inequalities with a Euclidean background ⋮ A volumetric Penrose inequality for conformally flat manifolds ⋮ Mass-Capacity Inequalities for Conformally Flat Manifolds with Boundary ⋮ The \(p\)-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature ⋮ On the Riemannian Penrose inequality in dimensions less than eight ⋮ The equality case of the Penrose inequality for asymptotically flat graphs ⋮ The ADM mass of asymptotically flat hypersurfaces ⋮ Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces
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