Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds
Differential Geometry
2016-05-20 v5 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math/0210352,
title = {Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds},
author = {Olaf Müller},
journal= {arXiv preprint arXiv:math/0210352},
year = {2016}
}
Comments
Submitted to Mathematische Annalen, one proof changed. 10 pages, no figures