Publication result detail
On Bundles of Covelocities
TOMÁŠ, J.
Original Title
On Bundles of Covelocities
English Title
On Bundles of Covelocities
Type
Peer-reviewed article not indexed in WoS or Scopus
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.
English 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
Key words in English
Lie group, r-jet, bundle functor, Weil functor
Authors
TOMÁŠ, J.
RIV year
2010
Released
01.12.2009
Publisher
MAIK Nauka/Intrerperiodica, distributed by Springer
Location
Kazaň
ISBN
1818-9962
Periodical
Lobachevskii Journal of Mathematics
Volume
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="1995-0802"
}