Jacek Dębecki (1998)
Archivum Mathematicum
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A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given.
Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
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W. Domitrz, S. Janeczko (1996)
Banach Center Publications
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Louis Jeanjean, Marco Squassina (2009)
Annales de l'I.H.P. Analyse non linéaire
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David T. Gay, Margaret Symington (2009)
Journal of the European Mathematical Society
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A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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