On Some Cohomological Properties of Almost Complex Manifolds

被引：30

作者：

Fino, Anna ^{[2
]}

Tomassini, Adriano ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

[2] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2010年 / 20卷 / 01期

关键词：

Symplectic structure; Pure and full almost complex structure; Calibrated almost complex structure; Current;

D O I：

10.1007/s12220-009-9098-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a special type of almost complex structures, called pure and full and introduced by T.J. Li and W. Zhang (arXiv:0708.2520, 2007), in relation to symplectic structures and Hard Lefschetz condition. We provide sufficient conditions to the existence of the above type of almost complex structures on compact quotients of Lie groups by discrete subgroups. We obtain families of pure and full almost complex structures on compact nilmanifolds and solvmanifolds. Some of these families are parametrized by real 2-forms which are anti-invariant with respect to the almost complex structures.

引用

页码：107 / 131

页数：25

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