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 $n \geq 3$ .

Natural transformations of foliations into foliations on the cotangent bundle

Mikulski, Włodzimierz M.

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Natural operators lifting functions to bundle functors on fibered manifolds

Włodzimierz M. Mikulski (1998)

Archivum Mathematicum

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The complete description of all natural operators lifting real valued functions to bundle functors on fibered manifolds is given. The full collection of all natural operators lifting projectable real valued functions to bundle functors on fibered manifolds is presented.

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

Natural transformations of foliations into foliations on the cotangent bundle

Natural operators lifting functions to bundle functors on fibered manifolds

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