Harmonic forms on the Kodaira-Thurston manifold

DOI10.1016/j.aim.2022.108277OpenAlexW4213064483MaRDI QIDQ2125998

Yanyan Li

Publication date: 14 April 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10962

zbMATH Keywords

almost complex structureHodge theoryalmost KählerKodaira-Spencer

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Abstract harmonic analysis (43Axx)

Related Items (11)

Bott-Chern and \(\bar{\partial}\) harmonic forms on almost Hermitian 4-manifolds ⋮ Dolbeault harmonic (1,1)-forms on 4-dimensional compact quotients of Lie groups with a left invariant almost Hermitian structure ⋮ Almost-complex invariants of families of six-dimensional solvmanifolds ⋮ Bott-Chern Laplacian on almost Hermitian manifolds ⋮ Bott-Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds ⋮ Kodaira dimensions of almost complex manifolds, I ⋮ On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ On the spectral sets of Inoue surfaces ⋮ Primitive decomposition of Bott-Chern and Dolbeault harmonic \((k, k)\)-forms on compact almost Kähler manifolds ⋮ Hodge-de Rham numbers of almost complex 4-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge theory on nearly Kähler manifolds
• Sur l'existence d'un cercle passant par un nombre donne de points aux coordonnees entières
• Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds
• Topological and geometric aspects of almost Kähler manifolds via harmonic theory
• Dolbeault cohomology for almost complex manifolds
• Some problems on differentiable and complex manifolds
• Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds
• Harmonic Analysis in Phase Space. (AM-122)
• Almost Kähler Kodaira-Spencer problem

This page was built for publication: Harmonic forms on the Kodaira-Thurston manifold