Alías, Luis J.; Palmer, Bennett Deformations of stationary surfaces. (English) Zbl 0891.53043 Classical Quantum Gravity 14, No. 8, 2107-2111 (1997). Authors’ abstract: “We show that a spacelike surface with zero mean curvature in a Lorentzian 4-manifold satisfying the null convergence condition is locally a stable minimum for the area functional when compared with nearby surfaces having isotropic (null) mean curvature vector”. Reviewer: W.Kühnel (Stuttgart) Cited in 8 Documents MSC: 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 49Q05 Minimal surfaces and optimization 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 49Q20 Variational problems in a geometric measure-theoretic setting Keywords:spacelike zero mean curvature surface; isotropic mean curvature; Lorentzian 4-manifold; null convergence condition; area PDFBibTeX XMLCite \textit{L. J. Alías} and \textit{B. Palmer}, Classical Quantum Gravity 14, No. 8, 2107--2111 (1997; Zbl 0891.53043) Full Text: DOI