Abstract:For natural numbers $r$ and $n\geq 2$ all natural operators $T_{\vert \Cal M f_n}\rightsquigarrow T^* (J^rT^{*})$ transforming vector fields from $n$-manifolds $M$ into $1$-forms on $J^r T^{*}M=\{j^r_x (\omega )\mid \omega \in \Omega ^1(M), x\in M\}$ are classified. A similar problem with fibered manifolds instead of manifolds is discussed.
Keywords: natural bundle, natural operator
AMS Subject Classification: 58A20