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On the holonomy of Lorentzian metrics

Charles Boubel — 2007

Annales de la faculté des sciences de Toulouse Mathématiques

Indecomposable Lorentzian holonomy algebras, except 𝔰𝔬 ( n , 1 ) and { 0 } , are not semi-simple; they possibly belong to four families of algebras. All four families are realized as families of holonomy algebras: we describe the corresponding set of germs of metrics in each case.

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