Publication result detail
Some results on bundles of covelocities
TOMÁŠ, J.
Original Title
Some results on bundles of covelocities
English Title
Some results on bundles of covelocities
Type
Peer-reviewed article not indexed in WoS or Scopus
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.
English 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.
Key words in English
Bundle functor, natural bundle, Weil algebra, Weil functor, Lie group.
Authors
TOMÁŠ, J.
RIV year
2012
Released
01.10.2011
Location
Bratislava
ISBN
1337-6365
Periodical
Journal of Applied Mathematics
Volume
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"
}