On quasijet bundles

Tomáš, Jiří

Displaying similar documents to “On quasijet bundles”

Non-existence of natural operators transforming connections on $Y \to M$ into connections on $F Y \to Y$

Włodzimierz M. Mikulski (2005)

Archivum Mathematicum

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Under some weak assumptions on a bundle functor $F : F M_{m, n} \to F M$ we prove that there is no $F M_{m, n}$ -natural operator transforming connections on $Y \to M$ into connections on $F Y \to Y$ .

Natural affinors on the extended $r$ -th order tangent bundles

Gancarzewicz, Jacek, Kolář, Ivan

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The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extended $r$ -th order tangent bundle $E^{r} M$ over a manifold $M$ ) are linear combinations (the coefficients of which are smooth functions on $ℛ$ ) of four natural affinors defined in this work.

Contact elements on fibered manifolds

Ivan Kolář, Włodzimierz M. Mikulski (2003)

Czechoslovak Mathematical Journal

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For every product preserving bundle functor $T^{μ}$ on fibered manifolds, we describe the underlying functor of any order $(r, s, q), s \geq r \leq q$ . We define the bundle $K_{k, l}^{r, s, q} Y$ of $(k, l)$ -dimensional contact elements of the order $(r, s, q)$ on a fibered manifold $Y$ and we characterize its elements geometrically. Then we study the bundle of general contact elements of type $μ$ . We also determine all natural transformations of $K_{k, l}^{r, s, q} Y$ into itself and of $T (K_{k, l}^{r, s, q} Y)$ into itself and we find all natural operators lifting projectable vector fields and horizontal...

Displaying similar documents to “On quasijet bundles”

Non-existence of natural operators transforming connections on Y → M into connections on F Y → Y

Natural affinors on the extended r -th order tangent bundles

Contact elements on fibered manifolds

Non-existence of natural operators transforming connections on $Y \to M$ into connections on $F Y \to Y$

Natural affinors on the extended $r$ -th order tangent bundles