Geodesic
Linear liftings of skew symmetric tensor fields of type $(1,2)$ to Weil bundles
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 933-943 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $n\ge 3.$ It complements author's paper ``Linear liftings of symmetric tensor fields of type $(1,2)$ to Weil bundles'' (Ann. Polon. Math. {\it 92}, 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 connections to Weil bundles'' (Colloq. Math. {\it 114}, 2009, pp. 1--8) and get a classification of affine liftings of all linear connections to Weil bundles.
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 $n\ge 3.$ It complements author's paper ``Linear liftings of symmetric tensor fields of type $(1,2)$ to Weil bundles'' (Ann. Polon. Math. {\it 92}, 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 connections to Weil bundles'' (Colloq. Math. {\it 114}, 2009, pp. 1--8) and get a classification of affine liftings of all linear connections to Weil bundles.
Classification : 58A32
Keywords: natural operator; Weil bundle 
@article{CMJ_2010_60_4_a3,
     author = {D\k{e}becki, Jacek},
     title = {Linear liftings of skew symmetric tensor fields of type $(1,2)$ to {Weil} bundles},
     journal = {Czechoslovak Mathematical Journal},
     pages = {933--943},
     year = {2010},
     volume = {60},
     number = {4},
     mrnumber = {2738957},
     zbl = {1224.58004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a3/}
}
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Dębecki, Jacek. Linear liftings of skew symmetric tensor fields of type $(1,2)$ to Weil bundles. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 933-943. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a3/