Area minimization among marginally trapped surfaces in Lorentz-Minkowski space

2009/04/28 by Bennett Palmer, Palmer, Bennett
Engineering · Mathematics · #3D Shape Modeling and Analysis #49K10 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #msc:49K10 #msc:53C50

paper · pdf · doi:10.48550/arxiv.0904.4332

11 pages

arxiv created 2009/04/28 · openalex publication_date 2009/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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