An affine framework for analytical mechanics
Volume 59 / 2003
Banach Center Publications 59 (2003), 257-279
MSC: 70G45, 70H03, 58A99.
DOI: 10.4064/bc59-0-14
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.
