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arXiv · 1904.05561

Generalized Hannay-Berry Connections on Foliated Manifolds and Applications

Avendaño-Camacho Misael·Hasse-Armengol Issac·Yury Vorobev
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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.

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Avendaño-Camacho Misael, Hasse-Armengol Issac, Yury Vorobev. 2019-04-11. Generalized Hannay-Berry Connections on Foliated Manifolds and Applications. https://arxiv.org/abs/1904.05561

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