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Invariant bilinear pairing for twistor spinors

Publication at Faculty of Mathematics and Physics |
2009

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.