Lifted transformations on the tangent bundle, and symmetries of particle motion
type: Item
instance of: scholarly article
title: Lifted transformations on the tangent bundle, and symmetries of particle motion
zbMATH Open document ID: 0777.53068
DOI: 10.1007/BF00674402
published in: International Journal of Theoretical Physics
publication date: 1993-05-16T00:00:00Z
review text: In the first part of the paper, the authors study different kinds of lifts of vector fields on a pseudo-Riemannian manifold to its tangent bundle. Then the geometric results are applied to the symmetries in particle motion. In particular, this includes the important but little- known ``matter symmetries'' of relativistic kinetic theory.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 70Sxx
zbMATH DE Number: 167647
zbMATH Keywords: lifts of vector fields
zbMATH Keywords: pseudo-Riemannian manifold
zbMATH Keywords: particle motion
zbMATH Keywords: relativistic kinetic theory
Wikidata QID: Q63390738
author: Roy Maartens
author: David R. Taylor
MaRDI profile type: Publication
cites work: Tangent bundle geometry Lagrangian dynamics
cites work: Q3744813
cites work: Q3274208
cites work: Dynamical symmetries and constants of the motion for classical particle systems
cites work: Collision-free gases in spatially homogeneous space-times
cites work: Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions
cites work: Q3957591
cites work: Q5678143
full work available at URL: https://doi.org/10.1007/bf00674402
OpenAlex ID: W1991711896
reviewed by: Ivan Kolář
description: scientific article; zbMATH DE number 167647