On the problem of algebraic completeness for the invariants of the Riemann tensor. II

DOI10.1063/1.1418427zbMath1052.53021OpenAlexW2089485247MaRDI QIDQ4830688

E. Zakhary, John Carminati, Raymond G. Mclenaghan

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1418427

Mathematics Subject Classification ID

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

Related Items (5)

The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor ⋮ On the problem of algebraic completeness for the invariants of the Riemann tensor. III. ⋮ 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

Uses Software

• NP

Cites Work

• A complete set of Riemann invariants
• On the problem of algebraic completeness for the invariants of the Riemann tensor: I
• Computer-aided classification of the Ricci tensor in general relativity
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• The classification of the Ricci tensor in general relativity theory

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