AV-differential geometry and Newtonian mechanics

Details AV-differential geometry and Newtonian mechanics AV-differential geometry and Newtonian mechanics

2005-11-02

arxiv.org/abs/math-ph/0511005v2

Rep. on Math. Phys. 58 (2006), 21-40.

Physics

Mathematical Physics

Revised and corrected, one subsection added. 16 pages, accepted in ROMP

Scientific paper

10.1016/S0034-4877(06)80038-8

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 uded. Lagragian and hamiltonian generating objects, together with the Legendre transformation independent on inertial frame are constructed.

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