On the algebraic invariants of the four-dimensional Riemann tensor

DOI10.1088/0264-9381/3/5/030zbMath0602.53018OpenAlexW2074488932MaRDI QIDQ5903240

G. E. Sneddon

Publication date: 1986

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/3/5/030

zbMATH Keywords

Petrov classificationRiemann tensor

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor ⋮ Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space ⋮ A complete set of Riemann invariants ⋮ The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants ⋮ Identities of the scalars of the four-dimensional Riemannian manifold ⋮ Algebraic properties of Riemannian manifolds ⋮ Determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. III. Mixed invariants of arbitrary degree in the Ricci spinor ⋮ Necessary and sufficient conditions for n-dimensional conformal Einstein spaces via dimensionally dependent identities ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. II ⋮ The algebra of two symmetric matrices: Proving completeness and deriving syzygies for a set of invariants of the Riemann tensor ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. III

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