Nearly Kahlerian Embeddings of Symplectic Manifolds
Borthwick, David ; Uribe, Alejandro
arXiv, 9812041 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-12-07
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Mathematics - Symplectic Geometry 
@article{9812041,
     author = {Borthwick, David and Uribe, Alejandro},
     title = {Nearly Kahlerian Embeddings of Symplectic Manifolds},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812041}
}

Borthwick, David; Uribe, Alejandro. Nearly Kahlerian Embeddings of Symplectic Manifolds. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812041/