Asymptotically hyperbolic 3-metric with Ricci flow foliation

DOI10.1007/s00023-018-0745-8zbMath1407.53077arXiv1802.01019OpenAlexW2787209185WikidataQ125391406 ScholiaQ125391406MaRDI QIDQ1729818

Hyun Chul Jang

Publication date: 28 February 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01019

zbMATH Keywords

scalar curvaturequasilinear parabolic equationgeneral relativitytotal massHawking massasymptotic hyperbolic metricRicci flow foliation

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Quasilinear parabolic equations (35K59)

Cites Work

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• Bartnik's mass and Hamilton's modified Ricci flow
• Quasi-spherical metrics and prescribed scalar curvature
• Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds
• The mass of asymptotically hyperbolic manifolds.
• Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Quasiconvex foliations and asymptotically flat metrics of non-negative scalar curvature
• Quasi-local mass integrals and the total mass
• Conserved quantities on asymptotically hyperbolic initial data sets
• Parabolic constructions of asymptotically flat 3-metrics of prescribed scalar curvature

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