Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime
Differential Geometry
2007-05-23 v1
Abstract
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension and arbitrary co-dimension, provided they are initially close to a flat plane.
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Cite
@article{arxiv.math/0512036,
title = {Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime},
author = {Paul Allen and Lars Andersson and James Isenberg},
journal= {arXiv preprint arXiv:math/0512036},
year = {2007}
}
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9 pages