On the natural operators transforming vector fields to the -th tensor power
Kolář, Ivan
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Displaying similar documents to “The natural operators lifting vector fields to the bundle of affinors”
On the natural operators transforming vector fields to the -th tensor power
On cotangent bundles of some natural bundles
Kolář, Ivan
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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 ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of . It is deduced that under certain assumptions on , 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
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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.