Compatible Poisson Structures on Fibered $5$-Manifolds
Symplectic Geometry
2021-08-04 v1 Differential Geometry
Abstract
We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a -dimensional orientable fibered manifolds with -dimensional bases, we describe a global behavior of almost coupling Poisson tensors and their singularities by using a bigraded factorization of the Jacobi identity. In particular, we present some unimodularity criteria and describe a class of gauge type transformations preserving the almost coupling property.
Cite
@article{arxiv.1804.05946,
title = {Compatible Poisson Structures on Fibered $5$-Manifolds},
author = {R. Flores-Espinoza and J. C. Ruíz-Pantaleón and Yu. Vorobiev},
journal= {arXiv preprint arXiv:1804.05946},
year = {2021}
}
Comments
Firsts Version, 18 pages