Nearly Kählerian embeddings of symplectic manifolds
Nearly Kählerian embeddings of symplectic manifolds
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DOI：
10.4310/ajm.2000.v4.n3.a6
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发表时间：
1998-12
影响因子：
0.6
通讯作者：
D. Borthwick;A. Uribe
中科院分区：
文献类型：
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作者：
D. Borthwick;A. Uribe
给定一个积分辛流形，我们构造了一族到复射影空间的“相干态”映射。该地图是建立从部分的张量权力的厄米特线丛的曲率是多个辛形式。我们表明，这个家庭是一个几乎复杂的版本的Kodiara嵌入。也就是说，映射是近似伪全纯的嵌入。
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.