Bundle functors on all foliated manifold morphisms have locally finite order

J. Kurek; W. M. Mikulski

Displaying similar documents to “Bundle functors on all foliated manifold morphisms have locally finite order”

On involutions of iterated bundle functors

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.

On the geometric functors on manifolds

Kolář, Ivan, Slovák, Jan

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Product preserving bundle functors on fibered manifolds

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.

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 $G Y \to Y$ .

A general point of view to nonholonomic jet bundles

Ivan Kolár (2003)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Product preserving bundle functors on fibered manifolds.

Mikulski, W.M. (1996)

Archivum Mathematicum

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Product preserving bundle functors on fibered fibered manifolds

Włodzimierz M. Mikulski, Jiří M. Tomáš (2003)

Colloquium Mathematicae

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We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural...