The metrizability problem for Lorentz-invariant affine connections

DOI10.1142/S0219887816501103zbMath1351.53037OpenAlexW2416071860MaRDI QIDQ2830817

Zbyněk Urban, Jana Volná

Publication date: 31 October 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887816501103

zbMATH Keywords

affine connectionPoincaré groupLorentz groupmetric field\(G\)-invariancemetrizability problem

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Structure and representation of the Lorentz group (22E43) Linear and affine connections (53B05) Differential invariants (local theory), geometric objects (53A55) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces
• ON METRIZABILITY OF INVARIANT AFFINE CONNECTIONS
• General theory of Lie derivatives for Lorentz tensors
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Spacetime
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