Some liftings of Poisson structures to Weil bundles
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 677-687.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : natural operator; product preserving bundle functor; Weil algebra; Poisson structure
Mots-clés : natural operator; product preserving bundle functor; Weil algebra; Poisson structure
@article{CMJ_2006__56_2_a30, 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 = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a30/} }
Dębecki, Jacek. Some liftings of Poisson structures to Weil bundles. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 677-687. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a30/