Non-holonomic $(r,s,q)$-jets
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1131-1145.

Voir la notice de l'article dans Czech Digital Mathematics Library

We generalize the concept of an $(r,s,q)$-jet to the concept of a non-holonomic $(r,s,q)$-jet. We define the composition of such objects and introduce a bundle functor ${\tilde{J}}^{r,s,q}\: \mathcal{F}\mathcal{M}_{k,l} \times \mathcal{F}\mathcal{M}$ defined on the product category of $(k,l)$-dimensional fibered manifolds with local fibered isomorphisms and the category of fibered manifolds with fibered maps. We give the description of such functors from the point of view of the theory of Weil functors. Further, we introduce a bundle functor $\tilde{J}^{r,s,q}_1\: 2\text{-}\mathcal{F}\mathcal{M}_{k,l} \rightarrow \mathcal{F}\mathcal{M}$ defined on the category of $2$-fibered manifolds with $\mathcal{F}\mathcal{M}_{k,l}$-underlying objects.
Classification : 58A05, 58A20, 58A32
Mots-clés : bundle functor; jet; non-holonomic jet; Weil bundle 
@article{CMJ_2006__56_4_a4,
     author = {Tom\'a\v{s}, Ji\v{r}{\'\i} M.},
     title = {Non-holonomic $(r,s,q)$-jets},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1131--1145},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2006},
     mrnumber = {2280799},
     zbl = {1164.58304},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a4/}
}
TY  - JOUR
AU  - Tomáš, Jiří M.
TI  - Non-holonomic $(r,s,q)$-jets
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 1131
EP  - 1145
VL  - 56
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a4/
LA  - en
ID  - CMJ_2006__56_4_a4
ER  - 
%0 Journal Article
%A Tomáš, Jiří M.
%T Non-holonomic $(r,s,q)$-jets
%J Czechoslovak Mathematical Journal
%D 2006
%P 1131-1145
%V 56
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a4/
%G en
%F CMJ_2006__56_4_a4
Tomáš, Jiří M. Non-holonomic $(r,s,q)$-jets. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1131-1145. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a4/