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A generalization of the concept of constant mean curvature and canonical time

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Publication:1133186
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DOI10.1007/BF00762636zbMath0421.53045MaRDI QIDQ1133186

Andrew John Goddard

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)


zbMATH Keywords

constant mean curvaturearea functionalachronal hypersurfaces


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) General relativity (83C99) Applications of global differential geometry to the sciences (53C80)


Related Items

Regularity of variational maximal surfaces, NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS, Foliation of the Kottler-Schwarzschild-de Sitter spacetime by flat spacelike hypersurfaces, Existence of maximal surfaces in asymptotically flat spacetimes



Cites Work

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  • Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
  • Domain of Dependence
  • Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
  • The Large Scale Structure of Space-Time
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