Symmetries of particle motion

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dc.creatorMaartens, Roy
dc.creatorTaylor, David
dc.date1997-12-11
dc.date.accessioned2026-07-07T10:15:54Z
dc.date.available2026-07-07T10:15:54Z
dc.descriptionWe define affine transport lifts on the tangent bundle by associating a transport rule for tangent vectors with a vector field on the base manifold. The aim is to develop tools for the study of kinetic/ dynamical symmetries in relativistic particle motion. The transport lift unifies and generalises the various existing lifted vector fields, with clear geometric interpretations. We find the affine dynamical symmetries of free particle motion, and compare this to previous results and to the alternative concept of "matter symmetry".
dc.description6 pages Latex. Contribution in 'Modern Group Analysis VI: Developments in Theory, Computation and Applications', ed. N Ibragimov and F Mahomed (New Age International Publishers, 1997)
dc.identifierhttps://arxiv.org/abs/physics/9712019
dc.identifierhttp://arxiv.org/abs/physics/9712019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173332
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSymmetries of particle motion
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