Displaying similar documents to “Torsion, curvature and deflection d -tensors on J 1 ( T , M ) .”

Natural operators in the view of Cartan geometries

Martin Panák (2003)

Archivum Mathematicum

Similarity:

We prove, that r -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order ( 1 , 0 ) (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order r - 1 . On the course to this result we also prove that the invariant derivations (a generalization of the covariant derivation for Cartan geometries) of the curvature function of a Cartan connection have the tensor character. A modification of the theorem...

Some remarks on the Cristoffel symbols of Ehresmann E-connection.

Ercüment Ortaçgil (1996)

Extracta Mathematicae

Similarity:

We study the relations between torsion, curvature, local flatness and simplicity within the framework of E-connections by means of explicit formulas in terms of the Christoffel symbols of the given E-connection.