On metrics satisfying equation \(R_{ij}-\frac{1}{2}Kg_{ij}=T_{ij}\) for constant tensors \(T\)

DOI10.1016/S0393-0440(01)00043-2zbMath1006.53504OpenAlexW2041473294WikidataQ126351790 ScholiaQ126351790MaRDI QIDQ1602423

Keti Tenenblat, Romildo Pina

Publication date: 23 June 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00043-2

zbMATH Keywords

scalar curvatureRicci tensorcompact manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

On solutions of the Ricci curvature equation and the Einstein equation ⋮ A class of solutions of the Ricci and Einstein equations ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Group-invariant solutions for the Ricci curvature equation and the Einstein equation ⋮ Conformal metrics and Ricci tensors in the pseudo-Euclidean space ⋮ On the Ricci and Einstein equations on the pseudo-Euclidean and hyperbolic spaces ⋮ Prescribed Schouten tensor in locally conformally flat manifolds ⋮ Exact solutions of Einstein field equation in locally conformally flat manifolds

Cites Work

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• Space times of embedding class one in general relativity
• Konform flache Gravitationsfelder
• Conformal metrics and Ricci tensors in the pseudo-Euclidean space
• Seminar on Differential Geometry. (AM-102)
• Conformal Diffeomorphisms Preserving the Ricci Tensor

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