THE METHOD of AVERAGING for POISSON CONNECTIONS on FOLIATIONS and ITS APPLICATIONS

Misael Avendanõ-Camacho, Isaac Hasse-Armengol, Eduardo Velasco-Barreras, Yury Vorobiev

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

On a Poisson foliation equipped with a canonical and cotangential action of a compact Lie group, we describe the averaging method for Poisson connections. In this context, we generalize some previous results on Hannay-Berry connections for Hamiltonian and locally Hamiltonian actions on Poisson fiber bundles. Our main application of the averaging method for connections is the construction of invariant Dirac structures parametrized by the 2-cocycles of the de Rham-Casimir complex of the Poisson foliation.
Idioma originalInglés
Páginas (desde-hasta)343-361
Número de páginas19
PublicaciónJournal of Geometric Mechanics
Volumen12
N.º3
DOI
EstadoPublicada - 1 sep. 2020

Nota bibliográfica

Publisher Copyright:
© American Institute of Mathematical Sciences.

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