Curvature and Killing vector fields on Lorentzian 3-manifolds

DOI10.1007/978-3-031-05379-5_4OpenAlexW4312424240MaRDI QIDQ2106304

Amir Babak Aazami

Publication date: 14 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-05379-5_4

zbMATH Keywords

Ricci curvatureKilling vector fieldsLorentzian geometrylocal classificationglobal obstructions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Three-manifolds with many flat planes
• Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
• An Integral Inequality on Compact Lorentz Manifolds, and its Applications
• Three-manifolds with constant vector curvature

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