Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds

DOI10.1090/S0002-9939-2012-11294-8zbMath1329.53050arXiv1010.6130MaRDI QIDQ4911567

Kwok-Kun Kwong, Luen-Fai Tam

Publication date: 19 March 2013

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

Full work available at URL: https://arxiv.org/abs/1010.6130

zbMATH Keywords

isometric embeddingasymptotically hyperbolic manifoldsquasilocal mass integral

Mathematics Subject Classification ID

General relativity (83C99) Global Riemannian geometry, including pinching (53C20)

Related Items

On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Quasi-local mass integrals and the total mass ⋮ A holographic principle for the existence of imaginary Killing spinors

Cites Work

• Unnamed Item
• The Brown-York mass of revolution surfaces in asymptotically Schwarzschild manifolds
• Large-sphere and small-sphere limits of the Brown-York mass
• On the behavior of quasi-local mass at the infinity along nearly round surfaces
• Blaschke's rolling theorem for manifolds with boundary
• Scalar curvature rigidity for asymptotically locally hyperbolic manifolds
• The mass of asymptotically hyperbolic manifolds.
• A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3-manifolds. I
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Some results on surface theory in the large
• A generalization of Liu-Yau's quasi-local mass
• Rigidity of compact manifolds and positivity of quasi-local mass
• A priori bounds for co-dimension one isometric embeddings