The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants

DOI10.1063/1.1646431zbMath1068.53017OpenAlexW2035405616MaRDI QIDQ4833380

A. E. K. Lim, John Carminati

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1646431

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)

Related Items (4)

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 integrability conditions for Killing tensors on constant sectional curvature manifolds ⋮ Determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. III. Mixed invariants of arbitrary degree in the Ricci spinor ⋮ Weyl doubling

Uses Software

• NP

Cites Work

• A new spinor identity and the vanishing of certain Riemann tensor invariants
• A complete set of Riemann invariants
• Four-dimensional tensor identities of low order for the Weyl and Ricci tensors
• Geometric interpretation of the mixed invariants of the Riemann spinor
• On the problem of algebraic completeness for the invariants of the Riemann tensor: I
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• The identities of the algebraic invariants of the four-dimensional Riemann tensor. III
• 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
• 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.
• Identities of the scalars of the four-dimensional Riemannian manifold
• Classification and compatibility of energy-momentum tensors
• The identities of the algebraic invariants of the four-dimensional Riemann tensor
• On the algebraic invariants of the four-dimensional Riemann tensor

This page was built for publication: The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants