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^*

^*Autore corrispondente per questo lavoro

University of Parma

Risultato della ricerca: Contributo in rivista › Articolo

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.

Lingua originale	Inglese
pagine (da-a)	2749-2765
Numero di pagine	17
Rivista	Annali di Matematica Pura ed Applicata
Volume	202
Numero di pubblicazione	6
DOI	https://doi.org/10.1007/s10231-023-01338-7
Stato di pubblicazione	Pubblicato - 2023

All Science Journal Classification (ASJC) codes

Matematica Applicata

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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author = "Riccardo Piovani and N. Tardini",

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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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JF - Annali di Matematica Pura ed Applicata

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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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