This article is cited in 8 papers

Conservation laws for spinor fields on a Riemannian spacetime manifold

R. F. Bilyalov

Kazan State University

Abstract: 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.

Received: 13.05.1991

 English version: Theoretical and Mathematical Physics, 1992, 90:3, 252–259

Bibliographic databases:

• 
• 
•