Publication detail

Transformations of semiholonomic 2 and 3-jets and semiholonomic prolongation of connections

VAŠÍK, P.

Czech title

Transformace semiholonomních 2 a 3-jetů a semiholonomní prodlužování konexí

English title

Transformations of semiholonomic 2 and 3-jets and semiholonomic prolongation of connections

Type

journal article in Web of Science

Language

en

Original abstract

We recall the description of natural transformations of semiholonomic jet functors. Up to order three, exact coordinate formulae are known, for general order several related results are reminded. We also show application of semiholonomic jet transformations to prolongation of general connections.

Czech abstract

Popisujeme transformace semiholonomního jetového funktoru. Až do řádu 3 jsou známa souřadná vyjádření, pro obecný řád připomínáme některé dílčí výsledky. Ukážeme aplikaci transformací semiholonomního jetového funktoru na semiholonomní prodlužování konexí.

English abstract

We recall the description of natural transformations of semiholonomic jet functors. Up to order three, exact coordinate formulae are known, for general order several related results are reminded. We also show application of semiholonomic jet transformations to prolongation of general connections.

Keywords in Czech

Jet, konexe, Ehresmannovo prodloužení

Keywords in English

Jet, connection, Ehresmann prolongation

RIV year

2010

Released

01.11.2010

Publisher

Estonian Academy Publishers

Location

Estonia

ISSN

1736-6046

Journal

Proceedings of the Estonian Academy of Sciences

Volume

59

Number

4

Pages from–to

375–380

Pages count

6

BIBTEX


@article{BUT46831,
  author="Petr {Vašík},
  title="Transformations of semiholonomic 2 and 3-jets and semiholonomic prolongation of connections",
  journal="Proceedings of the Estonian Academy of Sciences",
  year="2010",
  volume="59",
  number="4",
  month="November",
  pages="375--380",
  publisher="Estonian Academy Publishers",
  address="Estonia",
  issn="1736-6046"
}