We study the -invariant and -anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold endowed with an almost-Kähler structure . In particular, almost-Kähler manifolds satisfying a Lefschetz type property and solvmanifolds endowed with left-invariant almost-complex structures are investigated.
On cohomological decomposability of almost–Kähler structures / Angella, Daniele; Tomassini, Adriano; Zhang, Weiyi. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 142:(2014), pp. 3615-3630. [10.1090/S0002-9939-2014-12049-1]
On cohomological decomposability of almost–Kähler structures
ANGELLA, DANIELE;
2014
Abstract
We study the -invariant and -anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold endowed with an almost-Kähler structure . 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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