Compatible poisson structures on fibered 5-manifolds

R. Flores-Espinoza, J. C. Ruíz-Pantaleón*, Yu Vorobiev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 5-dimensional orientable fibered manifolds with 2-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.

Original languageEnglish
Pages (from-to)187-209
Number of pages23
JournalBoletin de la Sociedad Matematica Mexicana
Issue number1
StatePublished - 1 Mar 2020

Bibliographical note

Publisher Copyright:
© 2018, Sociedad Matemática Mexicana.


  • Almost coupling tensors
  • Fiber bundles
  • Poisson connections
  • Poisson structures


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