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Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

Research paper by Paul Allen, Lars Andersson, James Isenberg

Indexed on: 01 Dec '05Published on: 01 Dec '05Published in: Mathematics - Differential Geometry



Abstract

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.