Diagonalization of the metric of a Lorentzian 3-manifold

Diagonalization of the metric of a Lorentzian 3-manifold

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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Veröffentlicht in:arXiv.org 2022-02
1. Verfasser: Romeo Segnan Dalmasso
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422