Berger algebras, weak-Berger algebras and Lorentzian holonomy
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چکیده
منابع مشابه
Towards a classification of Lorentzian holonomy groups. Part II: Semisimple, non-simple weak-Berger algebras
The holonomy group of an (n+2)–dimensional simply-connected, indecomposable but non-irreducible Lorentzian manifold (M,h) is contained in the parabolic group (R × SO(n)) ⋉ R. The main ingredient of such a holonomy group is the SO(n)–projection G := prSO(n)(Holp(M,h)) and one may ask whether it has to be a Riemannian holonomy group. In this paper we show that this is always the case, completing ...
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