Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 13 (2017), 022, 13 pages      arXiv:1610.09898
Contribution to the Special Issue “Gone Fishing”

$G$-Invariant Deformations of Almost-Coupling Poisson Structures

José Antonio Vallejo a and Yury Vorobiev b
a) Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, México
b) Departamento de Matemáticas, Universidad de Sonora, México

Received October 31, 2016, in final form March 28, 2017; Published online April 02, 2017

On a foliated manifold equipped with an action of a compact Lie group $G$, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.

Key words: Poisson geometry; Dirac structures; deformation; averaging.

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