Detail publikace

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

TOMÁŠ, J.

Anglický název

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

Typ

článek v časopise ve Scopus, Jsc

Jazyk

en

Originální abstrakt

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 $J^r(M,N)$.

Anglický abstrakt

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 $J^r(M,N)$.

Klíčová slova anglicky

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

Vydáno

01.03.2017

Nakladatel

Česká akademie věd

Místo

Praha

ISSN

1572-9141

Ročník

67

Číslo

2

Strany od–do

297–316

Počet stran

20

BIBTEX


@article{BUT134290,
  author="Jiří {Tomáš},
  title="The general rigidity result for bundles of A-covelocities and A-jets",
  year="2017",
  volume="67",
  number="2",
  month="March",
  pages="297--316",
  publisher="Česká akademie věd",
  address="Praha",
  issn="1572-9141"
}