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Area minimization among marginally trapped surfaces in Lorentz-Minkowski space. (English) Zbl 1217.53062

Summary: We study an area minimization problem for space-like zero mean curvature surfaces in four dimensional Lorentz-Minkowski space. The areas of these surfaces are compared with the areas of certain marginally trapped surfaces having the same boundary values.

MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
49Q10 Optimization of shapes other than minimal surfaces
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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References:

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