Publication result detail

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

TOMÁŠ, J.

Original Title

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

English Title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We generalize the concept of an (r,s,q)-jet to the concept of a non-holonomic (r,s,q)-jet and define the composition of such objects. We introduce a bundle functor of such elements, defined on the product category of (k,l)-dimensional fibered manifolds and the category of fibered manifolds with fibered maps. We present this bundle functor also as a fibered jet functor and desribe it from the point of view of the theory of Weil functors. Further, we present a bundle functor of this kind defined as that defined on the category of 2-fibered manifolds with (k,l)-underlying objects.

English abstract

We generalize the concept of an (r,s,q)-jet to the concept of a non-holonomic (r,s,q)-jet and define the composition of such objects. We introduce a bundle functor of such elements, defined on the product category of (k,l)-dimensional fibered manifolds and the category of fibered manifolds with fibered maps. We present this bundle functor also as a fibered jet functor and desribe it from the point of view of the theory of Weil functors. Further, we present a bundle functor of this kind defined as that defined on the category of 2-fibered manifolds with (k,l)-underlying objects.

Keywords

fibered manifold, bundle functor, non-holonomic jet, (r,s,q)-jet.

Key words in English

fibered manifold, bundle functor, non-holonomic jet, (r,s,q)-jet.

Authors

TOMÁŠ, J.

Released

01.12.2006

Publisher

AV ČR

Location

Praha

ISBN

0011-4642

Periodical

CZECHOSLOVAK MATHEMATICAL JOURNAL

Volume

56

Number

131

State

Czech Republic

Pages from

1131

Pages to

1145

Pages count

15

BibTex

@article{BUT43626,
  author="Jiří {Tomáš}",
  title="Non-holonomic (r,s,q)-jets",
  journal="CZECHOSLOVAK MATHEMATICAL JOURNAL",
  year="2006",
  volume="56",
  number="131",
  pages="1131--1145",
  issn="0011-4642"
}