The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries

DOI10.56754/0719-0646.2602.239zbMATH Open1544.5302MaRDI QIDQ6601984

Andrea Spiro, M. Ganji, Dmitri Alekseevsky, Gerd Schmalz

Publication date: 11 September 2024

Published in: Cubo (Search for Journal in Brave)

zbMATH Keywords

Levi-Civita connectionoptical geometrycongruence of shearfree geodesics

Mathematics Subject Classification ID

Linear and affine connections (53B05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• CR-geometry and shearfree Lorentzian geometry
• Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry
• Einstein's equations and the embedding of 3-dimensional CR manifolds
• Conformal geometry of flows in n dimensions
• A generalised Kerr-Robinson theorem
• A bestiary of higher-dimensional Taub–NUT–AdS spacetimes
• Differential invariants of Kundt spacetimes

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