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Symplectic linearization of singular Lagrangian foliations in \(M^{4}\). - MaRDI portal

Symplectic linearization of singular Lagrangian foliations in \(M^{4}\). (Q1405256)

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scientific article; zbMATH DE number 1970797
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Symplectic linearization of singular Lagrangian foliations in \(M^{4}\).
scientific article; zbMATH DE number 1970797

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    Symplectic linearization of singular Lagrangian foliations in \(M^{4}\). (English)
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    25 August 2003
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    While studying the classification of the symplectic structures on a 4-dimensional manifold \(M^{4}\), the authors show that the singular Lagrangian foliation associated to an integrable Hamiltonian system with two degrees of freedom, near a non-degenerate singular orbit, is symplectically equivalent to the linearized foliation.
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    symplectic manifold
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    singular Lagrangian foliation
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    integrable Hamiltonian system
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    Hamiltonian \(S^{1}\)-action
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