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Lorentzian manifolds isometrically
embeddable in LN

Müller, Olaf and Sánchez, M. (2013) Lorentzian manifolds isometrically
embeddable in LN.
Preprintreihe der Fakultät Mathematik 11/2013, Working Paper.

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Felix Finster
Classification:
NotationType
53C50MSC
53C12MSC
83E15MSC
83C45MSC
Keywords:causality theory, globally hyperbolic, isometric embedding, conformal embedding
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:28909
Owner only: item control page

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