Some remarks on metric and Weyl connections

DOI10.1063/1.531228zbMath0857.53044OpenAlexW2065171399MaRDI QIDQ4873473

Barry M. Haddow, Graham S. Hall

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.531228

zbMATH Keywords

holonomy groupWeyl connectionmetric connection

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Connections (general theory) (53C05)

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Connections and symmetries in spacetime
• The curvature problem in general relativity
• Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections
• Conditions on a connection to be a metric connection
• The maximal subgroups of the classical groups
• Classification of Four-Dimensional Riemannian Spaces
• Some Applications of the Infinitesimal-Holonomy Group to the Petrov Classification of Einstein Spaces
• Einstein Spaces With Four-Parameter Holonomy Groups
• The global extension of local symmetries in general relativity
• Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric
• Weyl manifolds and connections
• General Relativity and Flat Space. I

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