Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds

Riccardo Piovani

Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds

Riccardo Piovani^*

^*Corresponding author

Research output: Contribution to journal › Article

Abstract

We recall the most recent results concerning the spaces of Dolbeault and Bott-Chern harmonic (1, 1)-forms on a compact almost Hermitian 4-manifold and compute the dimension of the space of Dolbeault harmonic (1, 1)-forms in some explicit examples.

Original language	English
Pages (from-to)	671-692
Number of pages	22
Journal	Rivista di Matematica della Universita di Parma
Volume	13
Issue number	2
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

4-manifold
Bott-Chern Laplacian
Dolbeault Laplacian

Cite this

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title = "Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds",

abstract = "We recall the most recent results concerning the spaces of Dolbeault and Bott-Chern harmonic (1, 1)-forms on a compact almost Hermitian 4-manifold and compute the dimension of the space of Dolbeault harmonic (1, 1)-forms in some explicit examples.",

keywords = "4-manifold, Bott-Chern Laplacian, Dolbeault Laplacian, 4-manifold, Bott-Chern Laplacian, Dolbeault Laplacian",

author = "Riccardo Piovani",

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AB - We recall the most recent results concerning the spaces of Dolbeault and Bott-Chern harmonic (1, 1)-forms on a compact almost Hermitian 4-manifold and compute the dimension of the space of Dolbeault harmonic (1, 1)-forms in some explicit examples.

KW - 4-manifold

KW - Bott-Chern Laplacian

KW - Dolbeault Laplacian

KW - 4-manifold

KW - Bott-Chern Laplacian

KW - Dolbeault Laplacian

UR - https://publicatt.unicatt.it/handle/10807/334244

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ER -

Harmonic (1, 1)-forms on compact almost Hermitian 4-manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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