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Keywords:
separated jet; canonical exchange; natural transformation
separated jet; canonical exchange; natural transformation
Summary:
Given a map of a product of two manifolds into a third one, one can define its jets of separated orders $r$ and $s$. We study the functor $J$ of separated $(r;s)$-jets. We determine all natural transformations of $J$ into itself and we characterize the canonical exchange $J\rightarrow J^{s;r}$ from the naturality point of view.
References:
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[5] Libermann P.: Introduction to the theory of semi-holonomic jets. Archivum Math. (Brno) 33 (1997), 173–189. MR 1478771 | Zbl 0915.58004
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