Karolina Wojciechowicz

collaborators

2 papers

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 $(M, π)$ to its tangent bundle $(T M, π_{T M})$ are also Poisson. We us…

math-ph2018

Deformation of algebroid bracket of differential forms and Poisson manifold

Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz

We construct the family of algebroid brackets $[\cdot, \cdot]_{c, v}$ on the tangent bundle $T^{*} M$ to a Poisson manifold $(M, π)$ starting from an algebroid bracket of differential fo…