Natural operators lifting linear vector fields from a vector bundle to its $r$-jet prolongations
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 155-170
MSC: 58A05, 58A20.
DOI: 10.4064/ap82-2-6
Abstract
All natural operators $A$ transforming a linear vector field $X$ on a vector bundle $E$ into a vector field $A(X)$ on the $r$-jet prolongation $J^rE$ of $E$ are given. Similar results are deduced for the $r$-jet prolongations $J^r_{\rm v}E$ and $J^{[r]}E$ in place of $J^rE$.
