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math.DG2018
Complete and vertical lifts of Poisson vector fields and infinitesimal deformations of Poisson tensor
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
In this paper we prove that both complete and vertical lifts of a Poisson vector field from a Poisson manifold to its tangent bundle are also Poisson. We us…
math.DG2017
Symmetries of the space of connections on a principal G-bundle and related symplectic structures
Grzegorz Jakimowicz, Anatol Odzijewicz, Aneta Sliżewska
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP…