English

Evolution of Ehresmann's jet theory

Mathematical Physics 2007-05-23 v1 Differential Geometry math.MP

Abstract

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.

Cite

@article{arxiv.math-ph/0612068,
  title  = {Evolution of Ehresmann's jet theory},
  author = {Wlodzimierz Tulczyjew},
  journal= {arXiv preprint arXiv:math-ph/0612068},
  year   = {2007}
}

Comments

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

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