Lifting distributions to tangent and jet bundles

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Authors

Lewis, Andrew D.

Date

1998

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en_US

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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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