Prolongation of vector fields to jet bundles

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 -