Geometrical aspects of the covariant dynamics of higher order

D. Opris; I. D. Albu

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Displaying similar documents to “Geometrical aspects of the covariant dynamics of higher order”

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

Włodzimierz M. Mikulski (2000)

Archivum Mathematicum

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For natural numbers $r$ and $n \geq 2$ a complete classification of natural affinors on the natural bundle ${(J^{r} T^{*})}^{*}$ dual to $r$ -jet prolongation $J^{r} T^{*}$ of the cotangent bundle over $n$ -manifolds is given.

Equivalence problem for Lagrangians

Alois Švec (1988)

Czechoslovak Mathematical Journal

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The geometry of the dual of a vector bundle.

Miron, Radu, Ianuş, Stere, Anastasiei, Mihai (1989)

Publications de l'Institut Mathématique. Nouvelle Série

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The natural operators lifting vector fields to ${(J^{r} T^{})}^{}$

Włodzimierz M. Mikulski (2000)

Archivum Mathematicum

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For integers $r \geq 2$ and $n \geq 2$ a complete classification of all natural operators $A : T_{| M_{n}} ⇝ T {(J^{r} T^{*})}^{*}$ lifting vector fields to vector fields on the natural bundle ${(J^{r} T^{*})}^{*}$ dual to $r$ -jet prolongation $J^{r} T^{*}$ of the cotangent bundle over $n$ -manifolds is given.

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 $M \geq 3$ .

Displaying similar documents to “Geometrical aspects of the covariant dynamics of higher order”

The natural affinors on ( J r T * ) *

Equivalence problem for Lagrangians

The geometry of the dual of a vector bundle.

The natural operators lifting vector fields to ( J r T * ) *

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

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

The natural operators lifting vector fields to ${(J^{r} T^{})}^{}$

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