TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME

PAUL ALLEN, LARS ANDERSSON, JAMES ISENBERG
2006 Journal of Hyperbolic Differential Equations  
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension ≥ 2 and arbitrary co-dimension, provided they are initially close to a flat plane.
doi:10.1142/s0219891606000963 fatcat:lv5u357yjvgrrirvjpe564kb4m