Invariant Poisson realizations and the averaging of Dirac structures
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Publication:462644
DOI10.3842/SIGMA.2014.096zbMath1301.53089arXiv1405.0574MaRDI QIDQ462644
José A. Vallejo, Yurii Vorobiev
Publication date: 21 October 2014
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.0574
Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
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The method of averaging for Poisson connections on foliations and its applications ⋮ Unimodularity criteria for Poisson structures on foliated manifolds ⋮ \(G\)-invariant deformations of almost-coupling Poisson structures ⋮ Deformations of Poisson structures on fibered manifolds and adiabatic slow–fast systems
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