Displaying similar documents to “Torsions of connections on tangent bundles of higher order”

Torsions of connections on higher order cotangent bundles

Miroslav Doupovec, Jan Kurek (2003)

Czechoslovak Mathematical Journal

Similarity:

By a torsion of a general connection Γ on a fibered manifold Y → M we understand the Frölicher-Nijenhuis bracket of Γ 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.

Torsions of connections on time-dependent Weil bundles

Miroslav Doupovec (2003)

Colloquium Mathematicae

Similarity:

We introduce the concept of a dynamical connection on a time-dependent Weil bundle and we characterize the structure of dynamical connections. Then we describe all torsions of dynamical connections.

Second order connections on some functional bundles

Antonella Cabras, Ivan Kolář (1999)

Archivum Mathematicum

Similarity:

We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y , such a connection is a section from Y into the second non-holonomic jet prolongation of Y . Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y , which are deduced in the first part of...