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Keywords:
linear r-tangent bundle; linear natural operator; 1-form
linear r-tangent bundle; linear natural operator; 1-form
Summary:
Let $r,n$ be fixed natural numbers. We prove that for $n$-manifolds the set of all linear natural operators $T^*\rightarrow T^*T^{(r)}$ is a finitely dimensional vector space over $R$. We construct explicitly the bases of the vector spaces. As a corollary we find all linear natural operators $T^*\rightarrow T^{r*}$.
References:
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