Identities of the scalars of the four-dimensional Riemannian manifold

DOI10.1063/1.531310zbMath0828.53023OpenAlexW1965711592WikidataQ115329672 ScholiaQ115329672MaRDI QIDQ4837356

Alex G. Harvey

Publication date: 7 August 1995

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

Full work available at URL: https://doi.org/10.1063/1.531310

zbMATH Keywords

invariantscurvature invariantscalarslinear dependencies

Mathematics Subject Classification ID

General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Dimensionally dependent tensor identities by double antisymmetrization ⋮ Geometric interpretation of the mixed invariants of the Riemann 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 ⋮ Algebraic properties of Riemannian manifolds ⋮ The identities of the algebraic invariants of the four-dimensional Riemann tensor. II ⋮ A new spinor identity and the vanishing of certain Riemann tensor invariants

Cites Work

• Invariants of General Relativity and the Classification of Spaces
• Space-time algebra approach to curvature
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• Normal forms for tensor polynomials. I. The Riemann tensor
• The Algebra of the Riemann Curvature Tensor in General Relativity: Preliminaries
• On the algebraic invariants of the four-dimensional Riemann tensor
• On the algebraic invariants of the four-dimensional Riemann tensor