Spinor methods in conformal Killing transport

Abstract

The equations of conformal Killing transport are discussed using tensor and spinor methods. It is shown that, in Minkowski space-time, the equations for a null conformal Killing vector ξ a are completely determined by the corresponding spinor ω A and its covariant derivative, which defines a spinor π A′ . In conformally flat space-time, the covariant derivative of π A′ is also involved. Some applications to twistor theory are briefly mentioned.