A new spinor identity and the vanishing of certain Riemann tensor invariants
type: Item
instance of: scholarly article
title: A new spinor identity and the vanishing of certain Riemann tensor invariants
zbMATH Open document ID: 0927.53020
DOI: 10.1023/A:1018878410311
author: Sotirios Bonanos
published in: General Relativity and Gravitation
publication date: 1999-12-15T00:00:00Z
review text: \textit{E. Zakhary} and \textit{C. B. G. McIntosh} [Gen. Relativ. Gravitation 30, 539-581, erratum 1619 (1998; Zbl 0876.53012)] produced a new complete set of Riemann tensor invariants. In the present note, by use of a new third order spinor identity, the author shows why the number of invariants is less than that previously determined. Other new spinor identities are exhibited, and the author gives a general overview of the problem.
Mathematics Subject Classification ID: 53A55
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 1290237
zbMATH Keywords: Weyl spinor
zbMATH Keywords: Einstein spinor
zbMATH Keywords: Riemann tensor invariants
zbMATH Keywords: spinor identities
reviewed by: Joseph D. Zund
describes a project that uses: NP
MaRDI profile type: Publication
cites work: Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
cites work: Normal forms for tensor polynomials. I. The Riemann tensor
cites work: Identities of the scalars of the four-dimensional Riemannian manifold
cites work: The identities of the algebraic invariants of the four-dimensional Riemann tensor
cites work: A complete set of Riemann invariants
cites work: Q3719405
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description: scientific article; zbMATH DE number 1290237