Geodesic
Conservation laws for spinor fields on a Riemannian spacetime manifold
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 3, pp. 369-379 
R. F. Bilyalov. Conservation laws for spinor fields on a Riemannian spacetime manifold. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 3, pp. 369-379. http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a2/
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     title = {Conservation laws for spinor fields on {a~Riemannian} spacetime manifold},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The analog of the polar decomposition theorem in Euclidean space is obtained in Minkowski space. The possibility of considering spinors in arbitrary frames is established by extending a Lorentz-group representation to a representation of the complete linear group in the space of spinors. The Lie derivative of spinors along arbitrary vector fields is constructed, and a Noether theorem for spinor fields is proved.

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