On the jets of fibred manifold morphisms
M. Doupovec, I. Kolár (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “On the jets of foliation respecting maps”
On the jets of fibred manifold morphisms
An abstract characterization of the jet spaces
Ivan Kolar (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Non-holonomic -jets
Jiří M. Tomáš (2006)
Czechoslovak Mathematical Journal
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We generalize the concept of an -jet to the concept of a non-holonomic -jet. We define the composition of such objects and introduce a bundle functor defined on the product category of -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 defined on the category of -fibered manifolds...
On some directions in the development of jet calculus
Miroslav Kureš (2011)
Banach Center Publications
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Two significant directions in the development of jet calculus are showed. First, jets are generalized to so-called quasijets. Second, jets of foliated and multifoliated manifold morphisms are presented. Although the paper has mainly a survey character, it also includes new results: jets modulo multifoliations are introduced and their relation to (R,S,Q)-jets is demonstrated.
Higher order jet involution
Miroslav Doupovec, Włodzimierz M. Mikulski (2007)
Czechoslovak Mathematical Journal
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We introduce an exchange natural isomorphism between iterated higher order jet functors depending on a classical linear connection on the base manifold. As an application we study the prolongation of higher order connections to jet bundles.
Prolongation of vector fields to jet bundles
Kolář, Ivan, Slovák, Jan
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[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.