Publication details
Cartan-Lepage forms in geometric mechanics
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Non-Linear Mechanics |
| MU Faculty or unit | |
| 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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