A New Spinor Identity and the Vanishing of Certain Riemann Tensor Invariants

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Abstract

A new spinor identity of third order in the Ricci spinor is presented and is shown to be the reason for the vanishing of certain mixed Riemann tensor invariants found recently by Zakhary and McIntosh. Some further identities satisfied by the different 4-index spinors defined in that paper are also given.

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