Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

Riccardo Piovani; N. Tardini

doi:10.1007/s10231-023-01338-7

Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

Riccardo Piovani
, N. Tardini^*

^*Corresponding author

University of Parma

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	2749-2765
Number of pages	17
Journal	Annali di Matematica Pura ed Applicata
Volume	202
Issue number	6
DOIs	https://doi.org/10.1007/s10231-023-01338-7
Publication status	Published - 2023

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Aeppli
Almost complex manifold
Almost Kähler manifold
Harmonic forms

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10.1007/s10231-023-01338-7

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abstract = "Let (X, J, ω) be a compact 2n-dimensional almost K{\"a}hler 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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AU - Piovani, Riccardo

AU - Tardini, N.

PY - 2023

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AB - 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.

KW - Aeppli

KW - Almost complex manifold

KW - Almost Kähler manifold

KW - Harmonic forms

KW - Aeppli

KW - Almost complex manifold

KW - Almost Kähler manifold

KW - Harmonic forms

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JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 6

ER -

Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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