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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
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" }