| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1901194 | Reports on Mathematical Physics | 2006 | 20 Pages |
Abstract
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values (AV differential geometry), i.e. the differential geometry in which affine bundles replace vector bundles and sections of one-dimensional affine bundles replace functions on manifolds, is used. Lagrangian and Hamiltonian generating objects, together with the Legendre transformation independent on inertial frame are constructed.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
