Non-uniqueness of the metric in Lorentzian manifolds

DOI10.2140/pjm.1993.158.177zbMath0799.53032OpenAlexW2067148642MaRDI QIDQ1314970

G. K. Martin, Gerard Thompson

Publication date: 16 November 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.158.177

zbMATH Keywords

Levi-Civita connectionde Rham decompositionLorentz metric

Mathematics Subject Classification ID

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

Related Items (7)

Metrics compatible with a symmetric connection in dimension three ⋮ PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS ⋮ The geometry of modified Riemannian extensions ⋮ Four-dimensional Walker metrics and symplectic structures ⋮ Affine transformations and parallel lightlike vector fields on compact Lorentzian 3-manifolds ⋮ Parallel metrics and reducibility of the holonomy group ⋮ Lorentzian metrics null-projectively related to semi-Riemannian metrics

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