José Antonio Vallejo, Yury Vorobiev, “<nobr>$G$</nobr>-Invariant Deformations of Almost-Coupling Poisson Structures”, SIGMA, 2017, Volume 13,022, 13 pp.

This article is cited in 2 papers

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

José Antonio Vallejo^a, Yury Vorobiev^b

^a Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, México
^b Departamento de Matemáticas, Universidad de Sonora, México

Abstract: 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.

Keywords: Poisson geometry; Dirac structures; deformation; averaging.

MSC: 53D17; 70G45; 58H15

Received: October 31, 2016; in final form March 28, 2017; Published online April 2, 2017

Language: English

DOI: 10.3842/SIGMA.2017.022