The uniqueness of \(g_{ij}\) in terms of \(R^l_{ijk}\)

DOI10.1007/BF01807989zbMath0323.53021OpenAlexW2064237436MaRDI QIDQ1224317

Edwin C. Ihrig

Publication date: 1975

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01807989

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Local differential geometry (53B99)

Related Items

Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections, Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric, Curvature collineations in general relativity. I, The curvature problem in general relativity, Mappings of empty space-times leaving the curvature tensor invariant, Determination of the metric from the curvature, Generalized geometries and scalar tensor theories, Curvature collineations and the determination of the metric from the curvature in General Relativity, Algebraic determination of the metric from the curvature in general relativity, The significance of curvature in general relativity

Cites Work

• Mach's principle in cosmology
• A class of singular space-times
• On completeness in quasi-uniform spaces
• Conditions on a connection to be a metric connection