no. 3
Geometry
Parallel pure spinors and holonomy
[Spineurs purs parallèles et holonomie]

Présenté par : Étienne Ghys

Ikemakhen, Aziz1
1 Faculté des sciences et techniques, BP 549, Guéliz, Marrakech, Morocco
Comptes Rendus. Mathématique, Tome 337 (2003) no. 3, pp. 179-184.

Nous caractérisons les variétés pseudo-riemanniennes spinorielles qui admettent des spineurs purs parallèles par leurs groupes d'holonomie. En particulier, nous étudions le cas des variétés lorentziennes.

We characterize the spin pseudo-Riemannian manifolds which admit parallel pure spinors by their holonomy groups. In particular, we study the Lorentzian case.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00275-9
Ikemakhen, Aziz 1

1 Faculté des sciences et techniques, BP 549, Guéliz, Marrakech, Morocco 
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Ikemakhen, Aziz. Parallel pure spinors and holonomy. Comptes Rendus. Mathématique, Tome 337 (2003) no. 3, pp. 179-184. doi : 10.1016/S1631-073X(03)00275-9. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00275-9/

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