Brendle's inequality on static manifolds

DOI10.1007/s12220-017-9814-3zbMath1386.53042arXiv1603.00379OpenAlexW2288928848MaRDI QIDQ1742934

Xiaodong Wang, Ye-Kai Wang

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00379

zbMATH Keywords

geometric inequalityPenrose inequalitymathematical general relativityasymptotically hyperbolicstatic manifold

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

New integral estimates in substatic Riemannian manifolds and the Alexandrov theorem ⋮ An integral formula for affine connections ⋮ An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere ⋮ Unnamed Item

Cites Work

• Constant mean curvature surfaces in warped product manifolds
• Static potentials on asymptotically flat manifolds
• A simple proof of the generalization of Israel's theorem
• The mass of asymptotically hyperbolic manifolds.
• Variational and rigidity properties of static potentials
• Uniqueness of photon spheres via positive mass rigidity
• The rigid Horowitz-Myers conjecture
• On static three-manifolds with positive scalar curvature
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• On the uniqueness of AdS space-time in higher dimensions
• An integral formula and its applications on sub-static manifolds
• The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
• On the uniqueness of the ADS spacetime
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
• On static n -body configurations in relativity
• The classification of static vacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior

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