On the problem of algebraic completeness for the invariants of the Riemann tensor: I

DOI10.1063/1.1348027zbMath1016.53018OpenAlexW4254197215WikidataQ125269053 ScholiaQ125269053MaRDI QIDQ2774847

E. Zakhary, John Carminati

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1348027

zbMATH Keywords

Riemann invariantsspace-timesset of invariantsalgebraically complete

Mathematics Subject Classification ID

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

Related Items

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. II ⋮ 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 ⋮ A new algorithm for the Petrov classification of the Weyl tensor ⋮ Determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. III. Mixed invariants of arbitrary degree in the Ricci spinor ⋮ GROUP-THEORETIC APPROACH FOR SYMBOLIC TENSOR MANIPULATION ⋮ The Invar tensor package

Uses Software

• NP

Cites Work

• The Algebra of the Riemann Curvature Tensor in General Relativity: Preliminaries
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