The natural operators lifting vector fields to the bundle of affinors

Jan Kurek; Włodzimierz Mikulski

Displaying similar documents to “The natural operators lifting vector fields to the bundle of affinors”

On the natural operators transforming vector fields to the $r$ -th tensor power

Kolář, Ivan

Similarity:

On cotangent bundles of some natural bundles

Kolář, Ivan

Similarity:

The author studies relations between the following two types of natural operators: 1. Natural operators transforming vector fields on manifolds into vector fields on a natural bundle $F$ ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of $F$ . It is deduced that under certain assumptions on $F$ , all natural operators of the second type can be constructed through those of the first one.

Lifting of projectable vector fields to vertical fiber product preserving vector bundles

Włodzimierz M. Mikulski (2006)

Archivum Mathematicum

Similarity:

We classify all natural operators lifting projectable vector fields from fibered manifolds to vector fields on vertical fiber product preserving vector bundles. We explain this result for some more known such bundles.

Displaying similar documents to “The natural operators lifting vector fields to the bundle of affinors”

On the natural operators transforming vector fields to the r -th tensor power

On cotangent bundles of some natural bundles

Lifting of projectable vector fields to vertical fiber product preserving vector bundles

On the natural operators transforming vector fields to the $r$ -th tensor power