Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues

DOI10.1016/J.GEOMPHYS.2015.10.009zbMath1347.53021OpenAlexW2284355745MaRDI QIDQ898643

Masami Sekizawa, Oldřich Kowalski

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.10.009

zbMATH Keywords

Lorentzian manifoldpartial differential equationsprincipal Ricci curvatures

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ Einstein metrics induced by natural Riemann extensions

Cites Work

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• A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃
• Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3

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