Original Title: Torsions of connections on higher order cotangent bundles Torse konexí na kotečných bandlech vyššího řádu Torsions of connections on higher order cotangent bundles DOUPOVEC, M., KUREK, J. journal article en 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. V článku jsou popsány torse konexí na kotečných bandlech vyššího řádu. 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. affinor, general connection, torsion 25.09.2003 949 958 10