Publication detail

The general rigidity result for bundles of A-covelocities and A-jets

TOMÁŠ, J.

Original Title

The general rigidity result for bundles of A-covelocities and A-jets

Type

journal article in Scopus

Language

English

Original Abstract

It is proved that any A-covelocity T^A_x f in T^{A*}_x M is determined by its values over arbitrary max{width, diím M} regular and under the first jet projection linearly independent elements of $T^A_xM$. Further, we prove the rigidity of the so-called universally reparametrizable Weil algebras. Applying essentially those partial results we give the proof of the general rigidity result identifying A-covelocities with classical jets. We also introduce the space $J^A(M,N)$ of $A$-jets and prove its rigidity in the sense of its coincidence with the classical jet space $J^r(M,N)$.

Keywords

r-jet, bundle functor, Weil functor, jet group, B-admissible A-velocity

Authors

TOMÁŠ, J.

Released

1. 3. 2017

Publisher

Česká akademie věd

Location

Praha

ISBN

1572-9141

Periodical

Czechoslovak Mathematical Journal

Year of study

67

Number

2

State

Czech Republic

Pages from

297

Pages to

316

Pages count

20

URL

http://cmj.math.cas.cz/online1st/index.html

BibTex

@article{BUT134290,
  author="Jiří {Tomáš}",
  title="The general rigidity result for bundles of A-covelocities and A-jets",
  journal="Czechoslovak Mathematical Journal",
  year="2017",
  volume="67",
  number="2",
  pages="297--316",
  doi="10.21136/CMJ.20170566-15",
  issn="1572-9141",
  url="http://cmj.math.cas.cz/online1st/index.html"
}