Geodesic
Natural operators lifting linear vector fields from a vector bundle to its $r$-jet prolongations
Włodzimierz M. Mikulski1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Annales Polonici Mathematici, Tome 82 (2003) no. 2, pp. 155-170

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $J^rE$.
DOI : 10.4064/ap82-2-6
Keywords: natural operators transforming linear vector field vector bundle vector field r jet prolongation given similar results deduced r jet prolongations place

Włodzimierz M. Mikulski 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Włodzimierz M. Mikulski. Natural operators lifting linear vector fields
  from a vector bundle to its $r$-jet prolongations. Annales Polonici Mathematici, Tome 82 (2003) no. 2, pp. 155-170. doi: 10.4064/ap82-2-6

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