Deformations of stationary surfaces

DOI10.1088/0264-9381/14/8/010zbMath0891.53043OpenAlexW2086748038MaRDI QIDQ4354798

Luis J. Alías, Bennett Palmer

Publication date: 17 September 1997

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/14/8/010

zbMATH Keywords

areanull convergence conditionisotropic mean curvatureLorentzian 4-manifoldspacelike zero mean curvature surface

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

On the stability of stationary surfaces in \(S^{4}_{1}\) ⋮ Global geometry and topology of spacelike stationary surfaces in the 4-dimensional Lorentz space ⋮ Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries ⋮ Area minimization among marginally trapped surfaces in Lorentz-Minkowski space ⋮ Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line ⋮ On the scarcity of non-totally geodesic complete spacelike hypersurfaces of constant mean curvature in a Lie group with bi-invariant Lorentzian metric ⋮ Remarks on a convergent flow for marginally trapped surfaces in Lorentz-Minkowski space ⋮ Superconformal harmonic surfaces in de Sitter space-times

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