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.
@article{108006, author = {W\l odzimierz M. Mikulski}, title = {Lifting of projectable vector fields to vertical fiber product preserving vector bundles}, journal = {Archivum Mathematicum}, volume = {042}, year = {2006}, pages = {265-271}, zbl = {1164.58303}, mrnumber = {2260386}, language = {en}, url = {http://dml.mathdoc.fr/item/108006} }
Mikulski, Włodzimierz M. Lifting of projectable vector fields to vertical fiber product preserving vector bundles. Archivum Mathematicum, Tome 042 (2006) pp. 265-271. http://gdmltest.u-ga.fr/item/108006/
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