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Lorentzian manifolds isometrically
embeddable in LN

URN to cite this document:
urn:nbn:de:bvb:355-epub-289093
Müller, Olaf ; Sánchez, M.
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Date of publication of this fulltext: 14 Oct 2013 08:14


Abstract

The main aim of the present article is to prove that any globally hyperbolic space- time M can be smoothly isometrically embedded in Lorentz-Minkowski LN, for some N, in the spirit of Nash's theorem. This will be a consequence of the following two results, with interest in its own right: (1) a Lorentzian manifold is isometrically embeddable in LN if and only if it is a stably causal spacetime ...

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