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
• 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
  • Texto completo
• 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.