Spinor calculus in five-dimensional relativity

A consistent spinor calculus is developed within the framework of five-dimensional relativity. The formalism is manifestly five-covariant, and in special coordinate systems and special spin frames it reduces to a familiar spinor formalism in curved space-time. The five-dimensional formulation is free of the difficulties involving the coupling of the electromagnetic field, which characterize the four-dimensional approach to spinor calculus. Some theorems and useful identities in the five-dimensional spinor calculus are proved.