Sur l'holonomie des variétés pseudo-riemanniennes de signature $(2,2+n)$

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A. Ikemakhen
In this paper, we determinate a class of possible restricted holonomy groups for a non-irreducible indecomposable pseudo-riemannian manifold with signature $(2,2+n)$. In particular, we deduce that which associated to symmetric spaces; and give some examples of such spaces. Finally, we construct some examples of metrics whose restricted holonomy groups are not closed.

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Ikemakhen, A. «Sur l’holonomie des variétés pseudo-riemanniennes de signature $(2,2+n)$». Publicacions Matemàtiques, 1999, vol.VOL 43, núm. 1, p. 55-84, http://raco.cat/index.php/PublicacionsMatematiques/article/view/37954.