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Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

Paul Allen, Lars Andersson, James Isenberg

math.DGarXiv:math/0512036

Abstract

We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension ≥ 2 and arbitrary co-dimension, provided they are initially close to a flat plane.

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