Displaying similar documents to “Natural transformations of the covelocities functors into some natural bundles”

On the Weilian prolongations of natural bundles

Ivan Kolář (2012)

Czechoslovak Mathematical Journal

Similarity:

We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration F ( E M ) of two natural bundles E and F . Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.

Natural differential operators between some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

Similarity:

Let F and G be two natural bundles over n -manifolds. We prove that if F is of type (I) and G is of type (II), then any natural differential operator of F into G is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.

Natural affinors on the extended r -th order tangent bundles

Gancarzewicz, Jacek, Kolář, Ivan

Similarity:

The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extended r -th order tangent bundle E r M over a manifold M ) are linear combinations (the coefficients of which are smooth functions on ℛ ) of four natural affinors defined in this work.