The natural affinors on $otimes^k T^(r)$

Abstract

For integers $k ≥ 2$, r and $n ≥ k$ we prove that any natural affinor A on the k-tensor power $⨂^kT^(r)$ of the linear r-tangent bundle functor T^(r) over n-manifolds is proportional to the identity affinor.