Abstract
Jet bundles are introduced and their structure is investigated in some detail. Some of the canonical structures defined on jet bundles, e.g. contact forms holonomic sections and prolongations of strong fibered morphisms projectable vector fields and sections are also introduced. The infinite jet bundle is introduced as the inverse limit of k-order jet bundles as k tends to infinity. Lie derivatives of sections are also defined and some of their properties are analyzed. As an application, jet bundles are used to define differential equations and the s-frame bundle.
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© 2003 Springer Science+Business Media Dordrecht
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Fatibene, L., Francaviglia, M. (2003). Jet Bundles. In: Natural and Gauge Natural Formalism for Classical Field Theorie. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2384-8_2
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DOI: https://doi.org/10.1007/978-94-017-2384-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6461-5
Online ISBN: 978-94-017-2384-8
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