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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-14, author = {Pawe\l\ Urba\'nski}, title = {An affine framework for analytical mechanics}, journal = {Banach Center Publications}, volume = {60}, year = {2003}, pages = {257-279}, zbl = {1063.70011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-14} }
Paweł Urbański. An affine framework for analytical mechanics. Banach Center Publications, Tome 60 (2003) pp. 257-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-14/