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TOMÁŠ, J.
Originální název
On Bundles of Covelocities
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Lie group, r-jet, bundle functor, Weil functor
Autoři
Rok RIV
2009
Vydáno
1. 12. 2009
Nakladatel
MAIK Nauka/Intrerperiodica, distributed by Springer
Místo
Kazaň
ISSN
1818-9962
Periodikum
Lobachevskii Journal of Mathematics
Ročník
30
Číslo
4
Stát
Ruská federace
Strany od
280
Strany do
288
Strany počet
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" }