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  Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

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.

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math_0512036.pdf (Preprint), 156KB
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 Creators:
Allen, Paul, Author
Andersson, Lars1, Author           
Isenberg, James, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Differential Geometry, math.DG
 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.

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 Dates: 2005-12-012006
 Publication Status: Issued
 Pages: 9 pages
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: math/0512036
DOI: 10.1142/S0219891606000963
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Title: Journal of Hyperbolic Differential Equations
Source Genre: Journal
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Pages: - Volume / Issue: 03 Sequence Number: - Start / End Page: 691 - 700 Identifier: -