SYMMETRIES AND CONSTANTS OF THE MOTION FOR HIGHER-ORDER LAGRANGIAN SYSTEMS

Authors
DELEON M DEDIEGO DM
Citation
M. Deleon et Dm. Dediego, SYMMETRIES AND CONSTANTS OF THE MOTION FOR HIGHER-ORDER LAGRANGIAN SYSTEMS, Journal of mathematical physics, 36(8), 1995, pp. 4138-4161
Citations number
43
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
36
Issue
8
Year of publication
1995
Pages
4138 - 4161
Database
ISI
SICI code
0022-2488(1995)36:8<4138:SACOTM>2.0.ZU;2-N
Abstract
We obtain a classification of infinitesimal symmetries of an autonomou s higher-order Lagrangian system by using the theory of lifts of vecto r fields to tangent bundles. Also, a classification of infinitesimal s ymmetries of a time-dependent higher-order Lagrangian system is obtain ed. The relationship between infinitesimal symmetries and constants of the motion is investigated. (C) 1995 American Institute of Physics.