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.
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