Is there any theorem characterizing those sypmlectic manifolds that can be embedded symplectically in projective space equipped with Fubini-Study symplectic form?
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$\begingroup$ You should also see this mathoverflow question: mathoverflow.net/questions/59733/… $\endgroup$– Sam LisiFeb 26, 2012 at 11:07
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According to this paper: http://arxiv.org/pdf/math/9811167.pdf, it is a theorem of Gromov and Tischler (op cit) that EVERY compact symplectic manifold is a symplectic submanifold of complex projective space.
answered Feb 26, 2012 at 6:16
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4$\begingroup$ (Every compact symplectic manifold with integral symplectic class, that is.) $\endgroup$ Feb 26, 2012 at 17:28
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$\begingroup$ Thanks Tim, what about the symplectic orbifolds. I mean is there an embedding theorem for them in some suitable weighted progective spaces? $\endgroup$– HamedAug 8, 2013 at 19:10