Czechoslovak Mathematical Journal, Vol. 53, No. 4, pp. 949-962, 2003

Torsions of connections on higher order cotangent bundles

Miroslav Doupovec, Jan Kurek

M. Doupovec, Department of Mathematics, FSI VUT Brno, Technicka 2, 616 69 Brno, Czech Republic, e-mail:; J. Kurek, Institute of Mathematics, Maria Curie-Sklodowska University, Plac Marii Curie-Sklodowskej 1, 20-031 Lublin, Poland, e-mail:

Abstract: By a torsion of a general connection $\Gamma$ on a fibered manifold $Y\to M$ we understand the Frolicher-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 study some properties of the torsions.

Keywords: affinor, general connection, torsion

Classification (MSC 2000): 53C05, 58A20

Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).

Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at
Subscribers of Springer (formerly Kluwer) need to access the articles on their site, which is

[Previous Article] [Next Article] [Contents of This Number] [Contents of Czechoslovak Mathematical Journal]