Publication detail

Connections and torsions on TT*M

KUREŠ, M.

English title

Connections and torsions on TT*M

Type

journal article - other

Language

en

Original abstract

The connections on the bundle TT*M-T*M are investigated and the results concerning liftings are summarized. General torsions of a connection are defined as the Frolicher-Nijenhuis brackets of the associated horizontal projection and natural affinors on this bundle. All general torsions on TT*M are derived. Specially, the torsions of linear connections and lifted classival linear connections are described geometrically.

English abstract

The connections on the bundle TT*M-T*M are investigated and the results concerning liftings are summarized. General torsions of a connection are defined as the Frolicher-Nijenhuis brackets of the associated horizontal projection and natural affinors on this bundle. All general torsions on TT*M are derived. Specially, the torsions of linear connections and lifted classival linear connections are described geometrically.

Keywords in English

Natural affinor, lifting of connection, torsion

RIV year

2001

Released

01.01.2001

ISSN

0365-1029

Volume

LV

Number

9

Pages count

12

BIBTEX


@article{BUT39665,
  author="Miroslav {Kureš},
  title="Connections and torsions on TT*M",
  year="2001",
  volume="LV",
  number="9",
  month="January",
  issn="0365-1029"
}