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On some deformations of the Poisson structure associated with the algebroid bracket of differential forms

Conference paper
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Part of the Trends in Mathematics book series (TM)

Abstract

We use the algebroid bracket of differential forms to generate the Poisson structure πC on the tangent bundle TM. Next, we present how to construct deformations of this structure starting from the initial Poisson structure π on a manifold M.

Keywords

Poisson manifold, Lie algebroid deformation of Poisson structure lifting of multivectors Lie algebra 

Mathematics Subject Classification (2000)

53D17 37K10 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Alina Dobrogowska and Grzegorz Jakimowicz and Karolina Wojciechowicz Institute of MathematicsUniversity of Białystok Ciołkowskiego 1MBiałystokPoland

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