Symplectic modulary groups
M. Newman, J. Smart (1964)
Acta Arithmetica
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M. Newman, J. Smart (1964)
Acta Arithmetica
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N. Ray (1971)
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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...