Nearly Kahlerian Embeddings of Symplectic Manifolds

Details Nearly Kahlerian Embeddings of Symplectic Manifolds Nearly Kahlerian Embeddings of Symplectic Manifolds

1998-12-07

arxiv.org/abs/math/9812041v1

Mathematics

Differential Geometry

AMS-Latex, 23 pages

Scientific paper

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.

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