Generalized Hannay-Berry Connections on Foliated Manifolds and Applications
Differential Geometry
2019-04-12 v1
Abstract
In this paper, we discuss some aspects of the averaging method for Poisson connections on foliated manifolds with symmetry generalizing the previous results on the Hannay-Berry connections on fibrations due to \cite{Mn-88,MaMoRa-90} which play an important role in the normal form theory for Hamiltonian systems of adiabatic type.
Keywords
Cite
@article{arxiv.1904.05561,
title = {Generalized Hannay-Berry Connections on Foliated Manifolds and Applications},
author = {Avendaño-Camacho Misael and Hasse-Armengol Issac and Yury Vorobev},
journal= {arXiv preprint arXiv:1904.05561},
year = {2019}
}