For integers $r\ge 2$ and $n\ge 2$ a complete classification of all natural operators $A:T_{\vert M_n}\rightsquigarrow T(J^rT^*)^*$ lifting vector fields to vector fields on the natural bundle $(J^rT^*)^*$ dual to $r$-jet prolongation $J^rT^*$ of the cotangent bundle over $n$-manifolds is given.
@article{107739,
author = {W\l odzimierz M. Mikulski},
title = {The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$},
journal = {Archivum Mathematicum},
volume = {036},
year = {2000},
pages = {255-260},
zbl = {1049.58011},
mrnumber = {1811169},
language = {en},
url = {http://dml.mathdoc.fr/item/107739}
}
Mikulski, Włodzimierz M. The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$. Archivum Mathematicum, Tome 036 (2000) pp. 255-260. http://gdmltest.u-ga.fr/item/107739/
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