Dolbeault harmonic (1,1)-forms on 4-dimensional compact quotients of Lie groups with a left invariant almost Hermitian structure

DOI10.1016/j.geomphys.2022.104639OpenAlexW4289444646WikidataQ114173315 ScholiaQ114173315MaRDI QIDQ2169862

Riccardo Piovani

Publication date: 30 August 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07235

zbMATH Keywords

4-manifoldinvariant almost complex structureDolbeault Laplacian

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Related Items (3)

Almost-complex invariants of families of six-dimensional solvmanifolds ⋮ Primitive decomposition of Bott-Chern and Dolbeault harmonic \((k, k)\)-forms on compact almost Kähler manifolds ⋮ An integral condition involving \(\overline{\partial}\)-harmonic \((0,1)\)-forms

Cites Work

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• Complex and Kähler structures on compact solvmanifolds
• Hermitian structures on six-dimensional nilmanifolds
• Curvatures of left invariant metrics on Lie groups
• On the metric structure of non-Kähler complex surfaces
• Properties of manifolds with skew-symmetric torsion and special holonomy
• Harmonic forms on the Kodaira-Thurston manifold
• On the dimension of Dolbeault harmonic \((1,1)\)-forms on almost Hermitian \(4\)-manifolds
• Bott-Chern and \(\bar{\partial}\) harmonic forms on almost Hermitian 4-manifolds
• Some problems on differentiable and complex manifolds
• Bott-Chern Laplacian on almost Hermitian manifolds
• On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures
• Almost Kähler Kodaira-Spencer problem

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