Geodesic
Some liftings of Poisson structures to Weil bundles
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 677-687

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We establish a formula for the Schouten-Nijenhuis bracket of linear liftings of skew-symmetric tensor fields to any Weil bundle. As a result we obtain a construction of some liftings of Poisson structures to Weil bundles.
Classification : 53D17, 58A32
Keywords: natural operator; product preserving bundle functor; Weil algebra; Poisson structure 
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     author = {D\k{e}becki, Jacek},
     title = {Some liftings of {Poisson} structures to {Weil} bundles},
     journal = {Czechoslovak Mathematical Journal},
     pages = {677--687},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291766},
     zbl = {1164.58308},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a30/}
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Dębecki, Jacek. Some liftings of Poisson structures to Weil bundles. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 677-687. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a30/