Invariant bilinear pairing for twistor spinors

Abstract

It is well-known that one can manufacture conformal Killing forms from conformal twistor spinors on any Riemannian Spin-manifold. We shall prove that this procedure can be realized in the framework of a cup product on twistor spinors in the Bernstein-Gelfand-Gelfand sequence associated to conformal geometry induced from the Riemannian structure.

Keywords

• Invariant
• bilinear
• pairing
• twistor
• spinors