Sur l'holonomie des variétés pseudo-riemanniennes de signature (2, 2+n)
- Autores: A. Ikemakhen
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 43, Nº 1, 1999, págs. 55-84
- Idioma: francés
- DOI: 10.5565/publmat_43199_03
- Títulos paralelos:
- Sobre la holonomía de variedades pseudo-riemannianas de signatura (2, 2+n)
- Holonomy of pseudo-Riemannian manifolds with signature (2,2+n)
- Enlaces
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Resumen
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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