Frame-independent formulation of Newtonian mechanics

Details Frame-independent formulation of Newtonian mechanics Frame-independent formulation of Newtonian mechanics

2004-04-29

arxiv.org/abs/math-ph/0404073v1

Physics

Mathematical Physics

19 pages

Scientific paper

A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values 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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