Global Existence and Uniqueness of Minimal Surfaces in Lorentzian Manifolds of Very Bounded Geometry
نویسنده
چکیده
In this note a proof is given for local existence and uniqueness of minimal surfaces with the topology of the halfplane respectively a cylinder of Lorentzian type with values in certain Lorentzian manifolds for given initial values up to the first derivatives. Global existence is proved for the case that the target manifold is diffeomorphic to Rn.
منابع مشابه
Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds
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