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2005•arXiv (Cornell University)Open access

Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime

Paul T. Allen, Lars Andersson, James Isenberg

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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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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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Available 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.

Key concepts: Minkowski space, Dimension (graph theory), Spacetime, Surface (topology), Plane (geometry), Minkowski–Bouligand dimension, Pure mathematics, Physics

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