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# Article

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Keywords:
vector field; natural bundle; natural operator; Weil bundle
Summary:
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.
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