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arXiv · 2201.11423

Bott-Chern harmonic forms and primitive decompositions on compact almost K\"ahler manifolds

Riccardo Piovani·Nicoletta Tardini
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Abstract

Let $(X,J,\omega)$ be a compact $2n$-dimensional almost K\"ahler 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 $\partial$-harmonic forms on $(X,J,\omega)$ are related.

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Riccardo Piovani, Nicoletta Tardini. 2022-01-27. Bott-Chern harmonic forms and primitive decompositions on compact almost K\"ahler manifolds. https://arxiv.org/abs/2201.11423

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