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arXiv · 1211.2928

On Cohomological Decomposability of Almost-K\"ahler Structures

Daniele Angella·Adriano Tomassini·Weiyi Zhang
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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-K\"ahler structure (J, \omega, g). In particular, almost-K\"ahler manifolds satisfying a Lefschetz type property, and solvmanifolds endowed with left-invariant almost-complex structures are investigated.

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Daniele Angella, Adriano Tomassini, Weiyi Zhang. 2012-11-13. On Cohomological Decomposability of Almost-K\"ahler Structures. https://doi.org/10.1090/s0002-9939-2014-12049-1

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