G-Invariant Deformations of Almost-Coupling Poisson Structures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Vallejo, J.A., Vorobiev, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148597
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.