Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds

Details Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds

2002-10-22

arxiv.org/abs/math/0210352v5

Mathematics

Differential Geometry

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

Scientific paper

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.

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