Publication detail

Bundles of (p,A)-covelocities and (p.A)-jets

TOMÁŠ, J.

Original Title

Bundles of (p,A)-covelocities and (p.A)-jets

Type

journal article - other

Language

English

Original Abstract

For an m-dimensional manifold M, a Weil algebra A-D^r_k/I and a Lie group homomorphism p mapping the jet group G^r_m to the group of algebra automorphisms of A we define the concept of a (p,A)-covelocity extending restrictions of covelocities T^A_xf from the orbits of the certain subgroup G^r_p,k of G^r_k to the whole G^r_k determined by p. It is proved that such objects together with some kind of associated maps forms the structure of a natural bundle over M with the standard fiber formed by the nipotent ideal of A. Further, we introduce bundle functors J^A_p of (p,A)-jets and give their geometrical description.

Keywords

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

Authors

TOMÁŠ, J.

RIV year

2013

Released

1. 12. 2013

ISBN

1787-2405

Periodical

Miskolc Mathematical Notes

Year of study

14

Number

2

State

Hungary

Pages from

547

Pages to

555

Pages count

9

URL

http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=contents&volume=14&number=2

BibTex

@article{BUT98999,
  author="Jiří {Tomáš}",
  title="Bundles of (p,A)-covelocities and (p.A)-jets",
  journal="Miskolc Mathematical Notes",
  year="2013",
  volume="14",
  number="2",
  pages="547--555",
  issn="1787-2405",
  url="http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=contents&volume=14&number=2"
}