The natural affinors on $(J^r T^{*,a})^*$

Włodzimierz M. Mikulski

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Displaying similar documents to “The natural affinors on ${(J^{r} T^{, a})}^{}$ ”

Liftings of $1$ -forms to the linear $r$ -tangent bundle

Włodzimierz M. Mikulski (1995)

Archivum Mathematicum

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Let $r, n$ be fixed natural numbers. We prove that for $n$ -manifolds the set of all linear natural operators $T^{*} \to T^{*} T^{(r)}$ is a finitely dimensional vector space over $R$ . We construct explicitly the bases of the vector spaces. As a corollary we find all linear natural operators $T^{*} \to T^{r *}$ .

Natural transformations transforming vector fields into affinors on the extended $r$ -th order tangent bundles

Włodzimierz M. Mikulski (1993)

Archivum Mathematicum

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A classification of natural transformations transforming vector fields on $n$ -manifolds into affinors on the extended $r$ -th order tangent bundle over $n$ -manifolds is given, provided $n \geq 3$ .

Displaying similar documents to “The natural affinors on ( J r T * , a ) * ”

Liftings of 1 -forms to the linear r -tangent bundle

Natural transformations transforming vector fields into affinors on the extended r -th order tangent bundles

Displaying similar documents to “The natural affinors on ${(J^{r} T^{, a})}^{}$ ”

Liftings of $1$ -forms to the linear $r$ -tangent bundle

Natural transformations transforming vector fields into affinors on the extended $r$ -th order tangent bundles