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Diagonalization of the metric of a Lorentzian 3-manifold

Published 9 Feb 2022 in math.DG | (2202.04558v1)

Abstract: We study the problem of diagonalization of the metric of 3-dimensional Lorentzian manifold. Applying the technique of moving frames, we prove that every smooth Lorentzian 3-manifold admits an atlas in which the metric assumes a diagonal form.

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