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Journal Article

Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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math_0512036.pdf
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JHDE3_691.pdf
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Citation

Allen, P., Andersson, L., & Isenberg, J. (2006). Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime. Journal of Hyperbolic Differential Equations, 03, 691-700. doi:10.1142/S0219891606000963.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-03DD-6
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.