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[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.
Kolář, Ivan, and Slovák, Jan. "Prolongation of vector fields to jet bundles." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1990. [103]-111. <http://eudml.org/doc/220834>.
@inProceedings{Kolář1990, abstract = {[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation $J^rY$ are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.}, author = {Kolář, Ivan, Slovák, Jan}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, keywords = {Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)}, location = {Palermo}, pages = {[103]-111}, publisher = {Circolo Matematico di Palermo}, title = {Prolongation of vector fields to jet bundles}, url = {http://eudml.org/doc/220834}, year = {1990}, }
TY - CLSWK AU - Kolář, Ivan AU - Slovák, Jan TI - Prolongation of vector fields to jet bundles T2 - Proceedings of the Winter School "Geometry and Physics" PY - 1990 CY - Palermo PB - Circolo Matematico di Palermo SP - [103] EP - 111 AB - [For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation $J^rY$ are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M. KW - Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia) UR - http://eudml.org/doc/220834 ER -