On a Minkowski-like inequality for asymptotically flat static manifolds

DOI10.1090/proc/14047zbMath1501.53082arXiv1709.06550OpenAlexW3103684891MaRDI QIDQ4577179

Stephen McCormick

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06550

zbMATH Keywords

total mean curvatureAdS-Schwarzschild manifoldsconvex surface in Euclidean spacestatic asymptotically flat

Mathematics Subject Classification ID

General relativity (83C99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Geometric evolution equations (53E99)

Related Items (5)

A Minkowski inequality for Horowitz-Myers geon ⋮ A geometric capacitary inequality for sub-static manifolds with harmonic potentials ⋮ The Minkowski inequality in de Sitter space ⋮ A localized Penrose inequality and quasi-local mass ⋮ Minkowski inequalities and constrained inverse curvature flows in warped spaces

Cites Work

• Unnamed Item
• An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality
• Static potentials on asymptotically flat manifolds
• A form of Alexandrov-Fenchel inequality
• The quermassintegral inequalities for \(k\)-convex starshaped domains
• On existence of static metric extensions in general relativity
• The inverse mean curvature flow and the Riemannian Penrose inequality
• On the geometry of the level sets of bounded static potentials
• Evaluation of the ADM mass and center of mass via the Ricci tensor
• Coordinate Invariance and Energy Expressions in General Relativity
• A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
• The mass of an asymptotically flat manifold
• On a Penrose-Like Inequality in Dimensions Less than Eight
• On the Bartnik conjecture for the static vacuum Einstein equations
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

This page was built for publication: On a Minkowski-like inequality for asymptotically flat static manifolds