Poisson Brackets with Prescribed Casimirs

DOI10.4153/CJM-2011-082-2zbMath1252.53092arXiv1103.0849OpenAlexW2000642558MaRDI QIDQ3165372

Pantelis A. Damianou, Fani Petalidou

Publication date: 26 October 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0849

zbMATH Keywords

Poisson bracketsPoisson manifoldssymplectic leavescosymplectic structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Almost contact and almost symplectic manifolds (53D15)

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Poisson structures on wrinkled fibrations ⋮ Compatible Poisson structures on fibered 5-manifolds ⋮ Geometrical aspects of the hamiltonization problem of dynamical systems ⋮ Poisson structures on smooth 4-manifolds ⋮ Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6 ⋮ Eigenvalue problem versus Casimir functions for Lie algebras ⋮ On computational Poisson geometry. II. Numerical methods ⋮ On computational Poisson geometry. I: Symbolic foundations

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