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Publication detail
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
RIV year
2009
Released
1. 12. 2009
Publisher
MAIK Nauka/Intrerperiodica, distributed by Springer
Location
Kazaň
ISBN
1995-0802
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{BUT47461, 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" }