Quasi-spherical metrics and prescribed scalar curvature

DOI10.4310/jdg/1214453422zbMath0786.53019OpenAlexW1526444941WikidataQ115180328 ScholiaQ115180328MaRDI QIDQ688313

Publication date: 15 May 1994

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214453422

zbMATH Keywords

boundary conditions foliation semilinear parabolic equation general relativity prescribed scalar curvature constant Gaussian curvature Penrose inequality ADM-mass 3-dimensional Riemannian manifolds adapted coordinates asymptotic fall-off conditions quasi-spherical metrics

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global Riemannian geometry, including pinching (53C20)

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