On Cohomology of Almost Complex 4-Manifolds

被引：4

作者：

Tan, Qiang ^{[1
]}

Wang, Hongyu ^{[1
]}

Zhang, Ying ^{[2
]}

Zhu, Peng ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2015年 / 25卷 / 03期

关键词：

Almost Hermitian 4-manifold; J-anti-invariant cohomology; Metric compatible almost complex structure; KAHLER SURFACES; MANIFOLDS;

D O I：

10.1007/s12220-014-9477-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on recent work of T. Draghici, T.-J. Li, and W. Zhang, we further investigate properties of the dimension h(J)(-) of the J-anti-invariant cohomology subgroup H-J(-) of a closed almost Hermitian 4-manifold (M, g, J, F) using metric compatible almost complex structures. We prove that h(J)(-) = 0 for generic almost complex structures J on M.

引用

页码：1431 / 1443

页数：13

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