Displaying similar documents to “Natural affinors on the extended r -th order tangent bundles”

On quasijet bundles

Tomáš, Jiří

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In this paper a Weil approach to quasijets is discussed. For given manifolds M and N , a quasijet with source x ∈ M and target y ∈ N is a mapping T x r M → T y r N which is a vector homomorphism for each one of the r vector bundle structures of the iterated tangent bundle T r [, Casopis Pest. Mat. 111, No. 4, 345-352 (1986; Zbl 0611.58004)]. Let us denote by Q J r ( M , N ) the bundle of quasijets from M to N ; the space J ˜ r ( M , N ) of non-holonomic r -jets from M to N is embeded into Q J r ( M , N ) . On the other hand, the bundle Q T m r N of ( m , r ) -quasivelocities...

Natural transformations of the covelocities functors into some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

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In this paper are determined all natural transformations of the natural bundle of ( g , r ) -covelocities over n -manifolds into such a linear natural bundle over n -manifolds which is dual to the restriction of a linear bundle functor, if n ≥ q .