Detail publikačního výsledku

On Bundles of Covelocities

TOMÁŠ, J.

Originální název

On Bundles of Covelocities

Anglický název

On Bundles of Covelocities

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

TOMÁŠ, J.

Rok RIV

2010

Vydáno

01.12.2009

Nakladatel

MAIK Nauka/Intrerperiodica, distributed by Springer

Místo

Kazaň

ISSN

1818-9962

Periodikum

Lobachevskii Journal of Mathematics

Svazek

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="1995-0802"
}