Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds

DOI10.1016/S0034-4877(23)00024-1OpenAlexW4365137138MaRDI QIDQ6070758

Ali Haji-Badali, Amirhesam Zaeim, Parvane Atashpeykar

Publication date: 24 November 2023

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(23)00024-1

zbMATH Keywords

Lorentzian manifoldslocally conformally flatCodazzi tensorcurvature identityweakly-Einstein conditions

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Critical metrics (58E11) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Ricci almost solitons on three-dimensional manifolds with recurrent curvature
• Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds
• Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues
• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• Conformally flat Riemannian manifolds admitting a transitive group of isometries
• On curvature homogeneous three-dimensional Lorentzian manifolds
• Conformally flat semi-Riemannian manifolds with commuting curvature and Ricci operators
• Locally conformally flat weakly-Einstein manifolds
• A curvature identity on a 4-dimensional Riemannian manifold
• Four-dimensional homogeneous manifolds satisfying some Einstein-like conditions
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Codazzi tensors with two eigenvalue functions
• Three-dimensional conformally flat homogeneous Lorentzian manifolds
• Homogeneity of Lorentzian three-manifolds with recurrent curvature
• Lorentzian three-manifolds with special curvature operators
• Quelques formules de variation pour une structure riemannienne
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES

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