Title: Lifting distributions to tangent and jet bundles (26 pages)
Author(s): Andrew D. Lewis
Detail: Miscellaneous

Original manuscript: 1998/05/19
Manuscript last revised: 2001/08/17

We provide two natural ways to lift a distribution from a manifold to its tangent bundle, and show that they agree if and only if the original distribution is integrable. The case when the manifold is the total space of a fibration over R is particularly interesting as the two constructions interact with the affine structure of the jet bundles in the ``same'' way.

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Last Updated: Wed Jun 14 07:41:21 2017


Andrew D. Lewis (andrew at mast.queensu.ca)