Skew Killing spinors
Résumé
In this paper, we study the existence of a skew Killing spinor (see the def\mbox{}inition below) on $2$ and $3$-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor f\mbox{}ields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)
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