Посилання:G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
Підтримка:We express our gratitude to the anonymous referees, whose detailed comments and criticism
have greatly improved the contents of this paper. Also, we thank the organizers of the Gone
Fishing Meeting at Berkeley (2015), for the opportunity of presenting and discussing some of
the results exposed here. This work was partially supported by the Mexican National Council
of Science and Technology (CONACyT), under research projects CB-2012-179115 (JAV) and
CB-2013-219631 (YuV).
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.