ON THE COHOMOLOGY OF ALMOST-COMPLEX MANIFOLDS

被引：15

作者：

Angella, Daniele ^{[1
]}

Tomassini, Adriano ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Leonida Tonelli, I-56127 Pisa, Italy

[2] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 02期

关键词：

Pure and full almost complex structure; cohomology; deformation; KAHLER-MANIFOLDS; DEFORMATIONS; METRICS;

D O I：

10.1142/S0129167X11007604

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following [T.-J. Li and W. Zhang, Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom. 17(4) (2009) 651-683], we continue to study the link between the cohomology of an almost-complex manifold and its almost-complex structure. In particular, we apply the same argument in [T.-J. Li and W. Zhang, Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom. 17(4) (2009) 651-683] and the results obtained by [D. Sullivan, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36(1) (1976) 225-255] to study the cone of semi-Kahler structures on a compact semi-Kahler manifold.

引用

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