Geodesic
Natural transformations of separated jets
Archivum mathematicum, Tome 36 (2000) no. 4, pp. 297-303 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 58A20, 58A32
Keywords: separated jet; canonical exchange; natural transformation 
@article{ARM_2000_36_4_a6,
     author = {Doupovec, Miroslav and Kol\'a\v{r}, Ivan},
     title = {Natural transformations of separated jets},
     journal = {Archivum mathematicum},
     pages = {297--303},
     year = {2000},
     volume = {36},
     number = {4},
     mrnumber = {1811174},
     zbl = {1049.58008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a6/}
}
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Doupovec, Miroslav; Kolář, Ivan. Natural transformations of separated jets. Archivum mathematicum, Tome 36 (2000) no. 4, pp. 297-303. http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a6/