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Diagonalization of three-dimensional pseudo-Riemannian metrics |
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| Affiliation: | 1. Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75 Praha 8, Czech Republic;2. Department of Mathematics, Tokyo Gakugei University, Tokyo 184-8501, Japan |
| Abstract: | We give a short proof of the fact that any Riemannian or Lorentzian real analytic metric in dimension 3 can be locally adapted to the diagonal form. We use the classical Cauchy–Kowalevski Theorem to this purpose. |
| Keywords: | pseudo-Riemannian metric PDE methods Cauchy–Kowalevski Theorem |
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