Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).
Ikemakhen, A.
Publicacions Matemàtiques, Tome 43 (1999), p. 55-84 / Harvested from Biblioteca Digital de Matemáticas
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In this paper, we determine a class of possible restricted holonomy groups for a non-irreducible indecomposable pseudoriemannian 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.

Publié le : 1999-01-01
DMLE-ID : 3896 
@article{urn:eudml:doc:41368,
     title = {Sur l'holonomie des vari\'et\'es pseudo-riemanniennes de signature (2,2+n).},
     journal = {Publicacions Matem\`atiques},
     volume = {43},
     year = {1999},
     pages = {55-84},
     mrnumber = {MR1697516},
     zbl = {0942.53032},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41368}
}

Ikemakhen, A. Sur l'holonomie des variétés pseudo-riemanniennes de signature (2,2+n).. Publicacions Matemàtiques, Tome 43 (1999) pp. 55-84. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41368/