Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds

DOI10.1007/S10455-006-9053-5arXivmath/0210352MaRDI QIDQ6472222

Publication date: 22 October 2002

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.

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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