Cartan-Lepage forms in geometric mechanics

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Authors	KRUPKA Demeter KRUPKOVA O. SAUNDERS D.
Year of publication	2012
Type	Article in Periodical
Magazine / Source	International Journal of Non-Linear Mechanics
MU Faculty or unit	Faculty of Science
Citation
Web	Full Text
Doi	http://dx.doi.org/10.1016/j.ijnonlinmec.2011.09.002
Keywords	Fibred mechanics; Lagrangian; Cartan-form; Cartan-Lepage form; First variation formula; Euler-Lagrange equations; Variational sequence
Description	We present variational principles for mechanics on the basis of the Cartan 1-form. We extend the theory to the Cartan-Lepage 2-forms related with dynamical forms and equations of motion. Explicit coordinate formulae for Lepage equivalents of dynamical forms are given.
Related projects:	Global analysis and the geometry of fibred spaces