summary:We consider a vector bundle $E\rightarrow M$ and the principal bundle $PE$ of frames of $E$. We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle $PE$ into itself.
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机译：摘要：我们考虑向量捆绑$ E \ rightarrow M $和$ E $框架的主要捆绑$ PE $。我们确定主体包$ PE $的一阶主体扩展到其自身的连接束的所有自然变换。
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