Special connections on symplectic manifolds
Schwachhöfer, Lorenz J.
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Schwachhöfer, Lorenz J.
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Blaom, Anthony D. (2002)
Documenta Mathematica
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Ole E. Barndorff-Nielsen, Peter E. Jupp (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Anatol Odzijewicz (1984)
Annales de l'I.H.P. Physique théorique
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Frank Loose (1997)
Annales de l'institut Fourier
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A Liouville form on a symplectic manifold is by definition a potential of the symplectic form . Its center is given by . A normal form for certain Liouville forms in a neighborhood of its center is given.
Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...