The algebra of two symmetric matrices: Proving completeness and deriving syzygies for a set of invariants of the Riemann tensor

DOI10.1063/1.532828zbMath0965.53017OpenAlexW2006834587MaRDI QIDQ4701838

Sotirios Bonanos

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532828

zbMATH Keywords

scalar curvatureRicci tensorRiemann tensorWeyl spinor

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) 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 ⋮ 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 ⋮ Determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. III. Mixed invariants of arbitrary degree in the Ricci spinor ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. III

Uses Software

• NP

Cites Work

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