The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor

DOI10.1063/1.2192976zbMath1111.53014OpenAlexW4243272754MaRDI QIDQ3441817

A. E. K. Lim, John Carminati

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2192976

Mathematics Subject Classification ID

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

Related Items (3)

On scalar curvature invariants in three dimensional spacetimes ⋮ 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

Cites Work

• Unnamed Item
• The theory of matrix polynomials and its application to the mechanics of isotropic continua
• Finite integrity bases for five or fewer symmetric 3 \(\times\) 3 matrices
• Further results in the theory of matrix polynomials
• On the problem of algebraic completeness for the invariants of the Riemann tensor: I
• 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.
• The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants
• 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. II. Mixed invariants of even degree in the Ricci spinor