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
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"
}