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arXiv · 1703.07253

Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds

François Fillastre·Dmitriy Slutskiy
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Abstract

We prove that any metric of non-positive curvature in the sense of Alexandrov on a compact surface can be isometrically embedded as a convex spacelike Cauchy surface in a flat spacetime of dimension (2+1). The proof follows from polyhedral approximation.

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François Fillastre, Dmitriy Slutskiy. 2017-03-21. Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds. https://arxiv.org/abs/1703.07253

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