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.

On cohomological decomposability of almost–Kähler structures

ANGELLA, DANIELE;
2014

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.
Settore MAT/03 - Geometria
Almost-Kähler structure; C; ∞; -pure-and-full structure; J-anti-invariant cohomology;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/58306
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