Compact symplectic four-dimensional manifolds not admitting polarizations
Marisa Fernández, Manuel de León (1989)
Commentationes Mathematicae Universitatis Carolinae
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Marisa Fernández, Manuel de León (1989)
Commentationes Mathematicae Universitatis Carolinae
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Luis A. Cordero, Marisa Fernández, Manuel De León, Martín Saralegui (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Schwachhöfer, Lorenz J.
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Dey, Rukmini (2004)
Mathematical Physics Electronic Journal [electronic only]
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Michael Eastwood, Jan Slovák (2018)
Archivum Mathematicum
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On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry. ...
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.