Sectional curvature, symmetries, and conformally flat plane waves

DOI10.1063/1.529716zbMath0758.53052OpenAlexW1966552732MaRDI QIDQ3992331

J. R. Pulham, A. D. Hossack, Graham S. Hall

Publication date: 13 August 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529716

zbMATH Keywords

spacetimeLie algebrasectional curvatureconformally flatKilling vector fieldsconformally flat generalized pp wave

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational waves (83C35)

Related Items (6)

Sectional curvature in 4-dimensional manifolds of neutral signature ⋮ Noether gauge symmetry classes for pp-wave spacetimes ⋮ A review on metric symmetries used in geometry and physics ⋮ Unnamed Item ⋮ GENERAL RELATIVITY AND SECTIONAL CURVATURE ⋮ Symmetry inheritance in Riemannian manifolds with physical applications

Cites Work

• Krümmungstreue Diffeomorphismen Riemannscher und pseudo-Riemannscher Mannigfaltigkeiten
• Sectional curvature and the determination of the metric in space-time
• Riemannian curvature and the classification of the Riemann and Ricci tensors in space-time
• Conformal groups and conformally equivalent isometry groups
• Sectional curvature in general relativity
• Conformal symmetries of pp-waves
• Curvature of generic space-times in general relativity
• Curvature and the Petrov Canonical Forms

This page was built for publication: Sectional curvature, symmetries, and conformally flat plane waves