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- W2810586434 abstract "In this paper we prove that both complete and vertical lifts of a Poisson vector field from a Poisson manifold $(M, pi)$ to its tangent bundle $(TM, pi_{TM})$ are also Poisson. We use this fact to describe the infinitesimal deformations of Poisson tensor $pi_{TM}$. We study some of their properties and present a extensive set of examples in a low dimensional case." @default.
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- W2810586434 date "2018-07-05" @default.
- W2810586434 modified "2023-10-16" @default.
- W2810586434 title "Complete and vertical lifts of Poisson vector fields and infinitesimal deformations of Poisson tensor" @default.
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