On the Hermitian curvature of symplectic manifolds

被引：5
|
作者：
Vezzoni, Luigi [1 ]
机构：
[1] Univ Turin, Dipartimento Matemat, I-10124 Turin, Italy
来源：
ADVANCES IN GEOMETRY | 2007年 / 7卷 / 02期
关键词：
D O I：
10.1515/ADVGEOM.2007.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give conditions for the integrability of almost complex structures calibrated by symplectic forms. We show that in the symplectic case the Newlander-Nirenberg theorem reduces to del"N-j = 0 and we give integrability conditions in terms of the curvature and the Hermitian curvature of the induced metric.
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页码：207 / 214
页数：8
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