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Description of jet like functors on double vector bundles by means of admissible systems. (English) Zbl 1528.58002

The paper is devoted to the study of fiber product preserving gauge bundle functors on double vector bundles. The main result is the description of all fiber product preserving gauge bundle functors on double vector bundles in terms of some admissible systems. It is also shown that applying fiber product preserving gauge bundle functors to double vector bundles with \(m\)-dimensional bases we obtain double vector bundles and any fiber product preserving gauge bundle functor on double vector bundles with \(m\)-dimensional bases has finite order. An application to prolongation of connections is also presented.

MSC:

58A05 Differentiable manifolds, foundations
58A20 Jets in global analysis
58A32 Natural bundles
Full Text: DOI

References:

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