Frame-independent formulation of Newtonian mechanics
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0404073,
title = {Frame-independent formulation of Newtonian mechanics},
author = {Katarzyna Grabowska and Pawel Urbanski},
journal= {arXiv preprint arXiv:math-ph/0404073},
year = {2007}
}
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19 pages