Publication detail

Torsions of connections on higher order tangent bundles

DOUPOVEC, M. KUREK, J.

Czech title

Torse konexí na tečných bandlech vyššího řádu

English title

Torsions of connections on higher order tangent bundles

Type

journal article - other

Language

en

Original abstract

The torsion of a connection on a natural bundle is defined as the Frolicher-Nijenhuis bracket of some natural affinor and the connection itself. Using the complete description of all natural affinors on r-th order tangent bundles, we determine all torsions of connections on such bundles.

Czech abstract

Jsou určeny torse konexí na tečných bandlech vyššího řádu.

English abstract

The torsion of a connection on a natural bundle is defined as the Frolicher-Nijenhuis bracket of some natural affinor and the connection itself. Using the complete description of all natural affinors on r-th order tangent bundles, we determine all torsions of connections on such bundles.

Keywords in English

Natural affinor, general connection, torsion, higher order tangent bundle.

RIV year

2001

Released

01.01.2001

ISSN

0365-1029

Journal

Annales Universitatis Mariae Curie Sklodowska

Volume

55

Number

2

Pages count

8

BIBTEX


@article{BUT39799,
  author="Miroslav {Doupovec} and Jan {Kurek},
  title="Torsions of connections on higher order tangent bundles",
  journal="Annales Universitatis Mariae Curie Sklodowska ",
  year="2001",
  volume="55",
  number="2",
  month="January",
  issn="0365-1029"
}