Nearly Kahlerian Embeddings of Symplectic Manifolds
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/9812041,
title = {Nearly Kahlerian Embeddings of Symplectic Manifolds},
author = {David Borthwick and Alejandro Uribe},
journal= {arXiv preprint arXiv:math/9812041},
year = {2007}
}
Comments
AMS-Latex, 23 pages