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The relation between systems and associated bundles

Peter W. Michor
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Abstract

It is shown that a strong system of vector fields on a fiber bundle in the sense of [Modugno, M. Systems of connections and invariant lagrangians. In: Differential geometric methods in theoretical physics, Proc. 15th Int. Conf., DGM, Clausthal/FRG 1986, 518-534 World Scientific Publishing Co. (1987)] is induced from a principal fiber bundle if and only if each vertical vector field of the system is complete.

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Peter W. Michor. 1992-03-01. The relation between systems and associated bundles. https://arxiv.org/abs/math/9203202

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