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- W2494517612 abstract "The Toupinian structure of the space-time is based on two canonical tensors, namely linear form and symmetric 2-contravariant linear tensor. If a Toupinian structure is given, there exists a Galilean basis. If the Galilean curvature is null and there are no other forces, there exists a Galilean coordinate system in which the material particles with constant mass are in uniform straight motion (USM). This chapter shows that the general action of Galileo's group on the momentum tensors useful for physical applications is affine. The structure of Euclidean space (and of Riemannian manifold) induces strong properties. In particular, it allows to generate new tensors by lowering or raising the indices. This suggests to generate the Bargmannian momenta from the torsors. The chapter also considers Poincarean momentum tensors, and reveal the link between Lie group statistical mechanics in the classical Galilean context and the thermodynamics of continua." @default.
- W2494517612 created "2016-08-23" @default.
- W2494517612 creator A5003854814 @default.
- W2494517612 date "2016-01-08" @default.
- W2494517612 modified "2023-10-11" @default.
- W2494517612 title "Galilean, Bargmannian and Poincarean Structures on a Manifold" @default.
- W2494517612 doi "https://doi.org/10.1002/9781119057956.ch16" @default.
- W2494517612 hasPublicationYear "2016" @default.
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