Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds

Abstract

In this note a proof is given for global existence and uniqueness of minimal surfaces of Lorentzian type from a cylinder into globally hyperbolic Lorentzian manifolds for given initial values up to the first derivatives.

arXiv commentSubmitted to Mathematische Annalen, one proof changed. 10 pages, no figures