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arXiv · 2303.05941

Lorentzian manifolds properly isometrically embeddable in Minkowski spacetime

E. Minguzzi
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Abstract

I characterize the Lorentzian manifolds properly isometrically embeddable in Minkowski spacetime (i.e. the Lorentzian submanifolds of Minkowski spacetime that are also closed subsets). Moreover, I prove that the Lorentzian manifolds that can be properly conformally embedded in Minkowski spacetime coincide with the globally hyperbolic spacetimes. Finally, by taking advantage of the embedding, I obtain an infinitesimal version of the distance formula.

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E. Minguzzi. 2023-03-10. Lorentzian manifolds properly isometrically embeddable in Minkowski spacetime. https://doi.org/10.1007/s11005-023-01692-w

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