Integrable systems and group actions

Eva Miranda

Displaying similar documents to “Integrable systems and group actions”

Toric structures on near-symplectic 4-manifolds

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...

Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems

Eva Miranda, Nguyen Tien Zung (2004)

Annales scientifiques de l'École Normale Supérieure

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Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds.

Pekarsky, Sergey, Marsden, Jerrold E. (2001)

Journal of Applied Mathematics

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Symplectic topology of integrable hamiltonian systems, I : Arnold-Liouville with singularities

Nguyen Tien Zung (1996)

Compositio Mathematica

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Locally Lagrangian symplectic and Poisson manifolds.

Vaisman, I. (2001)

Rendiconti del Seminario Matematico

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Examples of stable compact symplectic foliations on compact symplectic manifolds

León, Manuel de (1989)

Portugaliae mathematica

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Applications of convex integration to symplectic and contact geometry

Dusa McDuff (1987)

Annales de l'institut Fourier

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We apply Gromov’s method of convex integration to problems related to the existence and uniqueness of symplectic and contact structures

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

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Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to $i d$ and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.