The identities of the algebraic invariants of the four-dimensional Riemann tensor. III

DOI10.1063/1.533062zbMath0957.53008OpenAlexW4249067224WikidataQ125943441 ScholiaQ125943441MaRDI QIDQ4498474

G. E. Sneddon

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533062

zbMATH Keywords

syzygiesLorentz transformationsRiemann tensoralgebraic invariantstrace-free Ricci tensor

Mathematics Subject Classification ID

General relativity (83C99) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)

Related Items (9)

The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor ⋮ Conditions for the alignment of the principal null directions of two Weyl-like tensors ⋮ The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants ⋮ 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 ⋮ The Invar tensor package ⋮ The \texttt{Invar} tensor package: differential invariants of Riemann ⋮ Invariants of the Riemann tensor: a classical approach ⋮ Landau theory for biaxial nematic liquid crystals with two order parameter tensors

Uses Software

• NP

Cites Work

• Algebraic computing and the Newman-Penrose formalism in general relativity
• A complete set of Riemann invariants
• Geometric interpretation of the mixed invariants of the Riemann spinor
• Space-time algebra approach to curvature
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• 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
• The Algebra of the Riemann Curvature Tensor in General Relativity: Preliminaries
• On the algebraic invariants of the four-dimensional Riemann tensor

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