The natural affinors on some fiber product preserving gauge bundle functors of vector bundles

Jan Kurek; Włodzimierz M. Mikulski

Displaying similar documents to “The natural affinors on some fiber product preserving gauge bundle functors of vector bundles”

Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles

A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2016)

Archivum Mathematicum

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We present some lifts (associated to a product preserving gauge bundle functor on vector bundles) of sections of the dual bundle of a vector bundle, some derivations and linear connections on vector bundles.

On the existence of prolongation of connections

Miroslav Doupovec, Włodzimierz M. Mikulski (2006)

Czechoslovak Mathematical Journal

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We classify all bundle functors $G$ admitting natural operators transforming connections on a fibered manifold $Y \to M$ into connections on $G Y \to M$ . Then we solve a similar problem for natural operators transforming connections on $Y \to M$ into connections on $G Y \to Y$ .

Product preserving bundle functors on fibered manifolds.

Mikulski, W.M. (1996)

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On principal connection like bundles

Włodzimierz M. Mikulski (2014)

Czechoslovak Mathematical Journal

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Let $𝒫 ℬ_{m}$ be the category of all principal fibred bundles with $m$ -dimensional bases and their principal bundle homomorphisms covering embeddings. We introduce the concept of the so called $(r, m)$ -systems and describe all gauge bundle functors on $𝒫 ℬ_{m}$ of order $r$ by means of the $(r, m)$ -systems. Next we present several interesting examples of fiber product preserving gauge bundle functors on $𝒫 ℬ_{m}$ of order $r$ . Finally, we introduce the concept of product preserving $(r, m)$ -systems and describe all fiber product preserving...