Let (X, J, ω) be a compact 2n-dimensional almost Kähler manifold. We prove primitive decompositions for Bott–Chern and Aeppli harmonic forms in special bidegrees and show that such bidegrees are optimal. We also show how the spaces of primitive Bott–Chern, Aeppli, Dolbeault and ∂ -harmonic forms on (X, J, ω) are related.
Piovani, R., Tardini, N., Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds, <<ANNALI DI MATEMATICA PURA ED APPLICATA>>, 2023; 202 (6): 2749-2765. [doi:10.1007/s10231-023-01338-7] [https://hdl.handle.net/10807/334248]
Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds
Piovani, Riccardo;
2023
Abstract
Let (X, J, ω) be a compact 2n-dimensional almost Kähler manifold. We prove primitive decompositions for Bott–Chern and Aeppli harmonic forms in special bidegrees and show that such bidegrees are optimal. We also show how the spaces of primitive Bott–Chern, Aeppli, Dolbeault and ∂ -harmonic forms on (X, J, ω) are related.
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