Publication detail

Some results on bundles of covelocities

TOMÁŠ, J.

Original Title

Some results on bundles of covelocities

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

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

Authors

TOMÁŠ, J.

RIV year

2011

Released

1. 10. 2011

Location

Bratislava

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Year of study

4

Number

2

State

Slovak Republic

Pages from

297

Pages to

306

Pages count

10

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"
}