ISSN:
1572-9036
Keywords:
58F05
;
Higher-order tangent bundles
;
Higher-order Lagrangian mechanics
;
sections along a map
;
derivations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We show that the concept of a section along a map is a fundamental concept within the framework of the geometrical description of classical mechanics. We review the higher-order Lagrangian mechanics formulation, and simpler redefinitions of basic objects appear in a natural way. As an application, Noether's theorem for higher-order Lagrangian mechanics admitting a converse is developed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00047147
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