Let (X, J, g, ω) be a compact 2n-dimensional almost-Kähler manifold. We prove primitive decompositions of ∂-, ∂¯-harmonic forms on X in bidegree (1, 1) and (n − 1, n − 1) (such bidegrees appear to be optimal). We provide examples showing that in bidegree (1, 1) the ∂- and ∂¯-decompositions differ.
PRIMITIVE DECOMPOSITIONS OF DOLBEAULT HARMONIC FORMS ON COMPACT ALMOST-KAHLER MANIFOLDS / Cattaneo, A.; Tardini, N.; Tomassini, A.. - 67:1(2024), pp. 301-316. [10.33044/REVUMA.3557]
PRIMITIVE DECOMPOSITIONS OF DOLBEAULT HARMONIC FORMS ON COMPACT ALMOST-KAHLER MANIFOLDS
Cattaneo A.;Tardini N.;Tomassini A.
2024-01-01
Abstract
Let (X, J, g, ω) be a compact 2n-dimensional almost-Kähler manifold. We prove primitive decompositions of ∂-, ∂¯-harmonic forms on X in bidegree (1, 1) and (n − 1, n − 1) (such bidegrees appear to be optimal). We provide examples showing that in bidegree (1, 1) the ∂- and ∂¯-decompositions differ.File in questo prodotto:
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