On the Weyl Problem in Minkowski Space
Copyright policy )On the Weyl Problem in Minkowski Space
Abstract Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$, there exists a unique globally hyperbolic, maximal, and Cauchy compact Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components, respectively.
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Local differential geometry of Lorentz metrics, indefinite metrics, Differential Geometry (math.DG), FOS: Mathematics, 30F60, 53C50, Fuchsian homomorphisms, globally hyperbolic spaces, affine deformations
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Local differential geometry of Lorentz metrics, indefinite metrics, Differential Geometry (math.DG), FOS: Mathematics, 30F60, 53C50, Fuchsian homomorphisms, globally hyperbolic spaces, affine deformations
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