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Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

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arxiv math/0512036 v1 pith:VPLDII44 submitted 2005-12-01 math.DG

Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

Paul Allen , Lars Andersson , James Isenberg This is my paper
classification math.DG
keywords arbitraryco-dimensionminimalminkowskitimelikecloseconsiderdimension
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We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension $\geq 2$ and arbitrary co-dimension, provided they are initially close to a flat plane.

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