A family of warped product semi-Riemannian Einstein metrics

DOI10.1016/j.difgeo.2016.11.004zbMath1355.53064arXiv1508.03880OpenAlexW2963773243WikidataQ115355587 ScholiaQ115355587MaRDI QIDQ730460

Márcio Lemes de Sousa, Romildo Pina

Publication date: 28 December 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03880

zbMATH Keywords

Einstein manifoldwarped productsemi-Riemannian metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Invariant solutions for the Einstein field equation ⋮ Invariant solutions for the static vacuum equation ⋮ Quasi-Einstein manifolds with structure of warped product ⋮ A family of special case sequential warped-product manifolds ⋮ A result of rigidity for Ricci-flat warped products ⋮ Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions ⋮ A family of multiply warped product semi-Riemannian Einstein metrics

Cites Work

• On the classification of warped product Einstein metrics
• On Bach flat warped product Einstein manifolds
• Examples of Einstein manifolds in odd dimensions
• Complete locally conformally flat manifolds of negative curvature
• Existence and non-existence of homogeneous Einstein metrics
• Warped product Einstein metrics over spaces with constant scalar curvature
• Conformal Diffeomorphisms Preserving the Ricci Tensor
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