An affine framework for analytical mechanics

Details An affine framework for analytical mechanics An affine framework for analytical mechanics

2003-03-05

arxiv.org/abs/math/0303053v1

Banach Center Publications, v.59, 2003

Mathematics

Differential Geometry

LamsTex, 25 pages

Scientific paper

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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