Geodesic
The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$
Archivum mathematicum, Tome 36 (2000) no. 4, pp. 255-260 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 53A55, 58A20, 58A32
Keywords: bundle functors; natural transformations; natural operators 
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     title = {The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$},
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Mikulski, Włodzimierz M. The natural operators lifting vector fields to $(J\sp rT\sp *)\sp *$. Archivum mathematicum, Tome 36 (2000) no. 4, pp. 255-260. http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a1/

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