Diagonalization of the metric of a Lorentzian 3-manifold
Differential Geometry
2022-02-10 v1
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.
Cite
@article{arxiv.2202.04558,
title = {Diagonalization of the metric of a Lorentzian 3-manifold},
author = {Romeo Segnan Dalmasso},
journal= {arXiv preprint arXiv:2202.04558},
year = {2022}
}
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6 pages