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Invariant Bilinear Pairing for Twistor Spinors

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Abstract.

It is proved in [5] 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.

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Authors and Affiliations

  1. Mathematical Institute of Charles University, Sokolovská 83, Praha 8, Karlín, Czech Republic

    Petr Somberg

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  1. Petr Somberg
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Correspondence to Petr Somberg.

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This work was supported by grant GAČR No. 201/03/P137

The article is based on the lecture given by the author at the conference “Clifford algebras and applications” in Toulouse, May, 2005.

Received: November 15, 2005. Accepted: July, 2006.

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Somberg, P. Invariant Bilinear Pairing for Twistor Spinors. AACA 19, 947 (2009). https://doi.org/10.1007/s00006-009-0195-y

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  • DOI: https://doi.org/10.1007/s00006-009-0195-y

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