Evolution of Ehresmann's jet theory

Details Evolution of Ehresmann's jet theory Evolution of Ehresmann's jet theory

2006-12-20

arxiv.org/abs/math-ph/0612068v1

Physics

Mathematical Physics

19 pages, Proceedings of Banach Center Conference 'The Mathematical Legacy of Charles Ehresmann', May 2005

Scientific paper

Jets of mappings introduced by Ehresmann are still the most useful objects
for formulating geometric frameworks of physical theories. We are proposing
modifications designed to make jet theory less dependent on local coordinates.
Extensions of the theory with applications to the calculus of variations and
mechanics are also proposed.

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