On cohomological decomposability of almost–Kähler structures

Angella, Daniele; Tomassini, Adriano; Zhang, Weiyi

doi:10.1090/S0002-9939-2014-12049-1

On cohomological decomposability of almost–Kähler structures
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by Daniele Angella, Adriano Tomassini and Weiyi Zhang PDF

Proc. Amer. Math. Soc. 142 (2014), 3615-3630 Request permission

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 $\left (J, \omega , g\right )$. In particular, almost-Kähler manifolds satisfying a Lefschetz type property and solvmanifolds endowed with left-invariant almost-complex structures are investigated.

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