Publication detail

On Bundles of Covelocities

TOMÁŠ, J.

Original Title

On Bundles of Covelocities

Type

journal article - other

Language

English

Original Abstract

For any Weil algebra A, the concept of an A-covelocity is introduced as the generalization of that of r-covelocity. It is proved that the space of them forms the structure of a natural bundle and that it coincides with the bundle of classical r-covelocities. Moreover, for a Lie group homomorphism p from the r-th order jet group to its subgroup of A-preserving automorphisms, the concept of a vertical p-covelocity is defined. It is proved that the space of them forms a structure of a natural bundle with the standard fiber A and the left action this Lie subgroup induced by p.

Keywords

Lie group, r-jet, bundle functor, Weil functor

Authors

TOMÁŠ, J.

RIV year

2009

Released

1. 12. 2009

Publisher

MAIK Nauka/Intrerperiodica, distributed by Springer

Location

Kazaň

ISBN

1818-9962

Periodical

Lobachevskii Journal of Mathematics

Year of study

30

Number

4

State

Russian Federation

Pages from

280

Pages to

288

Pages count

9

BibTex

@article{BUT46924,
  author="Jiří {Tomáš}",
  title="On Bundles of Covelocities",
  journal="Lobachevskii Journal of Mathematics",
  year="2009",
  volume="30",
  number="4",
  pages="280--288",
  issn="1818-9962"
}