Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures

Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

We consider multicomponent local Poisson structures of the form ${\mathcal{P}}_3+{\mathcal{P}}_1$, under the assumption that the third order term ${\mathcal{P}}_3$ is Darboux-Poisson and…