Necessary and sufficient conditions for n-dimensional conformal Einstein spaces via dimensionally dependent identities

DOI10.1063/1.1823011zbMath1076.53055arXivmath/0404238OpenAlexW3102958750MaRDI QIDQ3024182

S. Brian Edgar

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0404238

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension ⋮ Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities ⋮ Obstructions to conformally Einstein metrics in \(n\) dimensions

Cites Work

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• On the algebraic invariants of the four-dimensional Riemann tensor
• Conformal Einstein spaces in \(n\)-dimensions