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

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.

### 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
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### References:

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