Detail publikačního výsledku

Torsions of connections on higher order cotangent bundles

DOUPOVEC, M., KUREK, J.

Original Title

Torsions of connections on higher order cotangent bundles

English Title

Torsions of connections on higher order cotangent bundles

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

By a torsion of a general connection $\Gamma$ on a fibered manifold $Y\to M$ we understand the Froelicher/Nijenhuis bracket of $\Gamma$ and some canonical tangent valued one-form (affinor) on Y. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and studz some properties of the torsions.

English abstract

By a torsion of a general connection $\Gamma$ on a fibered manifold $Y\to M$ we understand the Froelicher/Nijenhuis bracket of $\Gamma$ and some canonical tangent valued one-form (affinor) on Y. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and studz some properties of the torsions.

Key words in English

affinor, general connection, torsion

Authors

DOUPOVEC, M., KUREK, J.

Released

25.09.2003

ISBN

0011-4642

Periodical

CZECHOSLOVAK MATHEMATICAL JOURNAL

Volume

53

Number

128

State

Czech Republic

Pages from

949

Pages count

10

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT42059,
  author="Miroslav {Doupovec} and Jan {Kurek}",
  title="Torsions of connections on higher order cotangent bundles",
  journal="CZECHOSLOVAK MATHEMATICAL JOURNAL",
  year="2003",
  volume="53",
  number="128",
  pages="10",
  issn="0011-4642"
}