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, R.; Tardini, N.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - 202:6(2023), pp. 2749-2765. [10.1007/s10231-023-01338-7]
Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds
Piovani R.;Tardini N.
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.File in questo prodotto:
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