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Lifting of projectable vector fields to vertical fiber product preserving vector bundles. (English) Zbl 1164.58303

The author classifies all natural operators transforming projectable vector fields on fibered manifolds into vector fields on vertical fiber product preserving vector bundles. The general result is illustrated by several interesting concrete examples.

MSC:

58A05 Differentiable manifolds, foundations
58A20 Jets in global analysis
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