Detail publikačního výsledku

Some results on bundles of covelocities

TOMÁŠ, J.

Originální název

Some results on bundles of covelocities

Anglický název

Some results on bundles of covelocities

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

For an m-dimensional manifold M and a Weil algebra A = D^r_k/I we investigate the spaces T^{A*}M of A-covelocities and prove that any covelocity T^A_xf from T^{A*}_x is determined by its values over k regular 1-jets of elements from T^A_xM. Further, we extend the rigidity result giving the identification of such spaces with bundles of classical higher-order covelocities from the cases of m >=k to all cases of m.

Anglický abstrakt

For an m-dimensional manifold M and a Weil algebra A = D^r_k/I we investigate the spaces T^{A*}M of A-covelocities and prove that any covelocity T^A_xf from T^{A*}_x is determined by its values over k regular 1-jets of elements from T^A_xM. Further, we extend the rigidity result giving the identification of such spaces with bundles of classical higher-order covelocities from the cases of m >=k to all cases of m.

Klíčová slova

Bundle functor, natural bundle, Weil algebra, Weil functor, Lie group.

Klíčová slova v angličtině

Bundle functor, natural bundle, Weil algebra, Weil functor, Lie group.

Autoři

TOMÁŠ, J.

Rok RIV

2012

Vydáno

01.10.2011

Místo

Bratislava

ISSN

1337-6365

Periodikum

Journal of Applied Mathematics

Svazek

4

Číslo

2

Stát

Slovenská republika

Strany od

297

Strany do

306

Strany počet

10

Plný text v Digitální knihovně

http://hdl.handle.net/

BibTex

@article{BUT90493,
  author="Jiří {Tomáš}",
  title="Some results on bundles of covelocities",
  journal="Journal of Applied Mathematics",
  year="2011",
  volume="4",
  number="2",
  pages="297--306",
  issn="1337-6365"
}