Product preserving bundle functors on fibered manifolds.
Mikulski, W.M. (1996)
Archivum Mathematicum
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Mikulski, W.M. (1996)
Archivum Mathematicum
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Włodzimierz M. Mikulski (1996)
Archivum Mathematicum
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The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
Miroslav Doupovec, Włodzimierz M. Mikulski (2006)
Colloquium Mathematicae
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We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.
Bushueva, Galina N., Shurygin, Vadim V. (2005)
Lobachevskii Journal of Mathematics
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Jan Kurek, Włodzimierz M. Mikulski (2006)
Archivum Mathematicum
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We classify all natural affinors on vertical fiber product preserving gauge bundle functors on vector bundles. We explain this result for some more known such . We present some applications. We remark a similar classification of all natural affinors on the gauge bundle functor dual to as above. We study also a similar problem for some (not all) not vertical fiber product preserving gauge bundle functors on vector bundles.
Miroslav Doupovec, Włodzimierz M. Mikulski (2006)
Czechoslovak Mathematical Journal
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We classify all bundle functors admitting natural operators transforming connections on a fibered manifold into connections on . Then we solve a similar problem for natural operators transforming connections on into connections on .