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Area minimization among marginally trapped surfaces in Lorentz-Minkowski space

Differential Geometry 2009-04-29 v1

Abstract

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

Keywords

Cite

@article{arxiv.0904.4332,
  title  = {Area minimization among marginally trapped surfaces in Lorentz-Minkowski space},
  author = {Bennett Palmer},
  journal= {arXiv preprint arXiv:0904.4332},
  year   = {2009}
}

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11 pages