Nearly Kahlerian Embeddings of Symplectic Manifolds

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Given an integral symplectic manifold, we construct a family of "coherent state" maps into complex projective space. The maps are built from sections of the tensor powers of a hermitian line bundle whose curvature is a multiple of the symplectic form. We show that this family is an almost-complex version of the Kodiara embedding. That is, the maps are embeddings which are approximately pseudo-holomorphic.
AMS-Latex, 23 pages

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Differential Geometry, Mathematical Physics, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/77812

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812041
 http://arxiv.org/abs/math/9812041

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arXiv