On $(1,1)$-tensor fields on symplectic manifolds

Anton Dekrét

Linear liftings of skew symmetric tensor fields of type $(1, 2)$ to Weil bundles

Jacek Dębecki (2010)

Czechoslovak Mathematical Journal

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The paper contains a classification of linear liftings of skew symmetric tensor fields of type $(1, 2)$ on $n$ -dimensional manifolds to tensor fields of type $(1, 2)$ on Weil bundles under the condition that $n \geq 3 .$ It complements author’s paper “Linear liftings of symmetric tensor fields of type $(1, 2)$ to Weil bundles” (Ann. Polon. Math. , 2007, pp. 13–27), where similar liftings of symmetric tensor fields were studied. We apply this result to generalize that of author’s paper “Affine liftings of torsion-free...

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.

Displaying similar documents to “On ( 1 , 1 ) -tensor fields on symplectic manifolds”

Linear liftings of skew symmetric tensor fields of type ( 1 , 2 ) to Weil bundles

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

Displaying similar documents to “On $(1, 1)$ -tensor fields on symplectic manifolds”

Linear liftings of skew symmetric tensor fields of type $(1, 2)$ to Weil bundles

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