Natural transformations of foliations into foliations on the cotangent bundle

Mikulski, Włodzimierz M.

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Displaying similar documents to “Natural transformations of foliations into foliations on the cotangent bundle”

The canonical tensor fields of type $(1, 1)$ on ${(J^{r} (⊙^{2} T^{}))}^{}$

Paweł Michalec (2003)

Archivum Mathematicum

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We prove that every natural affinor on ${(J^{r} (⊙^{2} T^{*}))}^{*} (M)$ is proportional to the identity affinor if dim $M \geq 3$ .

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 $T^{*} \to T^{r *}$ .

Displaying similar documents to “Natural transformations of foliations into foliations on the cotangent bundle”

The canonical tensor fields of type ( 1 , 1 ) on ( J r ( ⊙ 2 T * ) ) *

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

The canonical tensor fields of type $(1, 1)$ on ${(J^{r} (⊙^{2} T^{}))}^{}$

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