On Cohomological Decomposability of Almost-Kähler Structures

Abstract

We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-Kähler structure (J, ω, g). In particular, almost-Kähler manifolds satisfying a Lefschetz type property, and solvmanifolds endowed with left-invariant almost-complex structures are investigated.

Accepted for publication in Proceedings of the American Mathematical Society

References in corpus (3)

• On the $\partial \overline{\partial }$-Lemma and Bott-Chern cohomology
• New aspects of the ddc-lemma
• On the cohomology of almost-complex manifolds

Cited by in corpus (4)

• Bott-Chern cohomology of solvmanifolds
• Inequalities à la Frölicher and cohomological decompositions
• Symplectic cohomologies and deformations
• On second non-HLC degree of closed symplectic manifold