Anton S. Galaev
Published 2005-02-28, updated 2006-12-14Version 2
All candidates to the weakly-irreducible not irreducible holonomy algebras of Lorentzian manifolds are known. In the present paper metrics that realize all these candidates as holonomy algebras are given. This completes the classification of the Lorentzian holonomy algebras. Also new examples of metrics with the holonomy algebras $g_2\zr\Real^7\subset\so(1,8)$ and $\spin(7)\zr\Real^8\subset\so(1,9)$ are constructed.
Journal: Int. J. Geom. Methods Mod. Phys. 3 (2006) no. 5-6, 1025--1045
Irreducible holonomy algebras of Riemannian supermanifolds
A class of Lorentzian manifolds with indecomposable holonomy groups
Holonomy groups and special geometric structures of pseudo-Kählerian manifolds of index 2
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