On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds

DOI10.1007/S10958-023-06771-WMaRDI QIDQ6187875

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Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

curvature operatorlocally homogeneous Lorentzian manifoldsprescribed sectional curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• On the spectrum of the curvature operator of a three-dimensional Lie group with a left-invariant Riemannian metric
• Reconstruction of an affine connection in generalized Fermi coordinates
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• Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues
• On the Ricci operator of locally homogeneous Lorentzian 3-manifolds
• Curvatures of left invariant metrics on Lie groups
• On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Locally conformally homogeneous pseudo-Riemannian spaces

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