Some affine properties of the -symplectic manifolds.

Awane, A.

Displaying similar documents to “Some affine properties of the $k$ -symplectic manifolds.”

On the number of components of the symplectic representatives of the canonical class

Stefano Vidussi (2007)

Journal of the European Mathematical Society

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We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.

Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds

J. Kurek, W. M. Mikulski (2003)

Annales Polonici Mathematici

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We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.

Isotopy of sympletic balls, Gromov' s radius and the structure of ruled symplectic 4-manifolds.

Francois Lalonde (1994)

Mathematische Annalen

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Symplectic capacities in two dimensions.

Karl Friedrich Siburg (1993)

Manuscripta mathematica

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Symplectic manifolds with contact type boundaries.

Dusa McDuff (1991)

Inventiones mathematicae

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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...