English

An affine framework for analytical mechanics

Differential Geometry 2007-05-23 v1 Mathematical Physics math.MP

Abstract

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

Keywords

Cite

@article{arxiv.math/0303053,
  title  = {An affine framework for analytical mechanics},
  author = {Pawel Urbanski},
  journal= {arXiv preprint arXiv:math/0303053},
  year   = {2007}
}

Comments

LamsTex, 25 pages