Four-dimensional tensor identities of low order for the Weyl and Ricci tensors

DOI10.1023/A:1026601013194zbMath0981.53011MaRDI QIDQ1807385

S. Brian Edgar

Publication date: 18 November 1999

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

Lovelock's identityRicci-like tensorstensor identityWeyl-like tensors

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Spin and Spin({}^c) geometry (53C27) Local Riemannian geometry (53B20)

Related Items

Dimensionally dependent tensor identities by double antisymmetrization ⋮ The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants

Cites Work

• A new spinor identity and the vanishing of certain Riemann tensor invariants
• A complete set of Riemann invariants
• The identities of the algebraic invariants of the four-dimensional Riemann tensor. II