Non-holonomic $(r,s,q)$-jets

Title:

Non-holonomic $(r,s,q)$-jets

Creator:

Tomáš, Jiří M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cd4275cf-c7aa-43ef-9951-357226658ada
uuid:cd4275cf-c7aa-43ef-9951-357226658ada

Subject:

bundle functor, jet, non-holonomic jet, and Weil bundle

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1131-1145

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:4

Harvested from:

CDK

Metadata only:

false