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Examples of indecomposable non-irreducible Lorentzian manifolds. (English. Extended French summary) Zbl 0873.53009
The author considers holonomy groups of indecomposable non-irreducible Lorentzian manifolds. He constructs a coordinate system in which he obtains a reduced form of the metric of such a manifold. Moreover, he describes some particular cases when there is further information about the restricted holonomy group of the metric. Finally, he shows that an Einstein Lorentzian manifold can be neither of type 3 nor of type 4.

MSC:
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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