Geodesic
Some natural operators on vector fields
Archivum mathematicum, Tome 31 (1995) no. 3, pp. 239-249 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We determine all natural operators transforming vector fields on a manifold $M$ to vector fields on $T^*T^2_1M$, $\operatorname{dim}M \ge 2$, and all natural operators transforming vector fields on $M$ to functions on $T^*TT^2_1M$, $\operatorname{dim}M \ge 3$. We describe some relations between these two kinds of natural operators.
We determine all natural operators transforming vector fields on a manifold $M$ to vector fields on $T^*T^2_1M$, $\operatorname{dim}M \ge 2$, and all natural operators transforming vector fields on $M$ to functions on $T^*TT^2_1M$, $\operatorname{dim}M \ge 3$. We describe some relations between these two kinds of natural operators.
Classification : 53A55, 58A20
Keywords: vector field; natural bundle; natural operator; Weil bundle 
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     author = {Tom\'a\v{s}, Ji\v{r}{\'\i}},
     title = {Some natural operators on vector fields},
     journal = {Archivum mathematicum},
     pages = {239--249},
     year = {1995},
     volume = {31},
     number = {3},
     mrnumber = {1368261},
     zbl = {0844.58007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995_31_3_a6/}
}
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Tomáš, Jiří. Some natural operators on vector fields. Archivum mathematicum, Tome 31 (1995) no. 3, pp. 239-249. http://geodesic.mathdoc.fr/item/ARM_1995_31_3_a6/

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