Geodesic
Conservation laws for spinor fields on a~Riemannian spacetime manifold
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 3, pp. 369-379

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. 
@article{TMF_1992_90_3_a2,
     author = {R. F. Bilyalov},
     title = {Conservation laws for spinor fields on {a~Riemannian} spacetime manifold},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {369--379},
     publisher = {mathdoc},
     volume = {90},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a2/}
}
TY  - JOUR
AU  - R. F. Bilyalov
TI  - Conservation laws for spinor fields on a~Riemannian spacetime manifold
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 369
EP  - 379
VL  - 90
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a2/
LA  - ru
ID  - TMF_1992_90_3_a2
ER  - 
%0 Journal Article
%A R. F. Bilyalov
%T Conservation laws for spinor fields on a~Riemannian spacetime manifold
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 369-379
%V 90
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1992_90_3_a2/
%G ru
%F TMF_1992_90_3_a2
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/