Geodesics and Killing tensors in mechanics

Title: Geodesics and Killing tensors in mechanics
Creator: Benn, I. M.
Relation: Journal of Mathematical Physics Vol. 47, Issue 2
Publisher Link: http://dx.doi.org/10.1063/1.2168121
Publisher: American Institute of Physics
Resource Type: journal article
Date: 2006
Description: Killing tensors give polynomial constants of the geodesic motion. The trajectories of a conservative mechanical system correspond to geodesics when the kinetic energy metric is conformally scaled to the Jacobi metric. Alternatively, the trajectories may be related to geodesics of some higher-dimensional warped product manifold. These two different ways of relating mechanical trajectories to geodesics are reviewed and compared. It is shown how a relation between Killing tensors on configuration space and the potential gives rise to Killing tensors on both the Jacobi and warped product manifolds.
Subject: Killing tensors; geodesics; mechanical trajectories
Identifier: http://hdl.handle.net/1959.13/926723
Identifier: uon:9923
Identifier: ISSN:1089-7658
Language: eng
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