Geodesic
Lifting of projectable vector fields to vertical fiber product preserving vector bundles
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 265-271.

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We classify all natural operators lifting projectable vector fields from fibered manifolds to vector fields on vertical fiber product preserving vector bundles. We explain this result for some more known such bundles.
Classification : 58A20, 58A32
Keywords: fibered manifolds; vector bundle functors; natural operators; natural transformations 
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     author = {Mikulski, W{\l}odzimierz M.},
     title = {Lifting of projectable vector fields to vertical fiber product preserving vector bundles},
     journal = {Archivum mathematicum},
     pages = {265--271},
     publisher = {mathdoc},
     volume = {42},
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     zbl = {1164.58303},
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Mikulski, Włodzimierz M. Lifting of projectable vector fields to vertical fiber product preserving vector bundles. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 265-271. http://geodesic.mathdoc.fr/item/ARM_2006__42_3_a8/