Displaying similar documents to “On special types of nonholonomic jets”

Fiber product preserving bundle functors on all morphisms of fibered manifolds

Ivan Kolář, Włodzimierz M. Mikulski (2006)

Archivum Mathematicum

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We describe the fiber product preserving bundle functors on the category of all morphisms of fibered manifolds in terms of infinite sequences of Weil algebras and actions of the skeleton of the category of r -jets by algebra homomorphisms. We deduce an explicit formula for the iteration of two such functors. We characterize the functors with values in vector bundles.

On the underlying lower order bundle functors

Miroslav Doupovec (2005)

Czechoslovak Mathematical Journal

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For every bundle functor we introduce the concept of subordinated functor. Then we describe subordinated functors for fiber product preserving functors defined on the category of fibered manifolds with m -dimensional bases and fibered manifold morphisms with local diffeomorphisms as base maps. In this case we also introduce the concept of the underlying functor. We show that there is an affine structure on fiber product preserving functors.

Non-holonomic ( r , s , q ) -jets

Jiří M. Tomáš (2006)

Czechoslovak Mathematical Journal

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We generalize the concept of an ( r , s , q ) -jet to the concept of a non-holonomic ( r , s , q ) -jet. We define the composition of such objects and introduce a bundle functor J ˜ r , s , q ℱ ℳ k , l × ℱ ℳ defined on the product category of ( k , l ) -dimensional fibered manifolds with local fibered isomorphisms and the category of fibered manifolds with fibered maps. We give the description of such functors from the point of view of the theory of Weil functors. Further, we introduce a bundle functor J ˜ 1 r , s , q 2 - ℱ ℳ k , l → ℱ ℳ defined on the category of 2 -fibered manifolds...