Let (X, J, ?) be a compact 2n-dimensional almost Kahler 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, ?) are related.
Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds
Piovani, Riccardo;Tardini, Nicoletta
2023-01-01
Abstract
Let (X, J, ?) be a compact 2n-dimensional almost Kahler 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, ?) are related.
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