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An affine framework for analytical mechanics

Pawel Urbanski
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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.

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Pawel Urbanski. 2003-03-05. An affine framework for analytical mechanics. https://arxiv.org/abs/math/0303053

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