Geodesic
Covariant generalization of Noether's theorems for fields with spin~$1/2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 2, pp. 227-235

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Spinor and spin-tensor total variations are defined for spinor fields in Riemannian spacetime and make it possible to formulate the corresponding Noether theorems in eovariant form. The invarianee of spinor field equations with respect to the transformations of the symmetry group of Riemannian space-time is proved in eovariant form, and corresponding differential conservation laws are derived. 
@article{TMF_1981_48_2_a8,
     author = {B. A. Levitskii and Yu. A. Yappa},
     title = {Covariant generalization of {Noether's} theorems for fields with spin~$1/2$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {227--235},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_2_a8/}
}
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B. A. Levitskii; Yu. A. Yappa. Covariant generalization of Noether's theorems for fields with spin~$1/2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 2, pp. 227-235. http://geodesic.mathdoc.fr/item/TMF_1981_48_2_a8/