Publication detail

Torsions of connections on higher order cotangent bundles

DOUPOVEC, M. KUREK, J.

Czech title

Torse konexí na kotečných bandlech vyššího řádu

English title

Torsions of connections on higher order cotangent bundles

Type

journal article - other

Language

en

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.

Czech abstract

V článku jsou popsány torse konexí na kotečných bandlech vyššího řádu.

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.

Keywords in English

affinor, general connection, torsion

Released

25.09.2003

ISSN

0011-4642

Journal

Czechoslovak Mathematical Journal

Volume

53

Number

128

Pages count

10

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",
  month="September",
  issn="0011-4642"
}