Prolongation of spinor structures on the manifold of jets. (Prolongement des structures spinorielles sur la variété des jets.) (French) Zbl 0814.53029

Turtoi, Irina Ana

Ann. Inst. Henri Poincaré, Phys. Théor. 61, No. 1, 63-73 (1994).

The author proves that it is possible to construct, in a canonical way, a spinorial structure on the manifold of 1-jets of a differentiable manifold with a spinorial structure. An example of prolongation of a spin structure on \(R^ 2\) to the manifold of 1-jets \(J^ 1_ qR^ 2\) is given.

Reviewer: L.A.Cordero (Santiago de Compostela)

MSC:

53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
58A20	Jets in global analysis

Keywords:

spinorial structure; manifold of 1-jets

References:

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