Almost Kähler Kodaira-Spencer problem

Abstract

We show that the almost complex Hodge number $h^{0,1}$ varies with different choices of almost Kähler metrics. This answers the almost Kähler version of a question of Kodaira and Spencer.

arXiv comment12 pages, 3 figures

References in corpus (2)

• Kodaira dimensions of almost complex manifolds II
• Harmonic Forms on the Kodaira-Thurston Manifold

Cited by in corpus (5)

• Harmonic Forms on the Kodaira-Thurston Manifold
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• $\overline{\partial }$-Harmonic forms on $4$-dimensional almost-Hermitian manifolds
• Leafwise flat forms on Inoue-Bombieri surfaces
• Bott-Chern Laplacian on almost Hermitian manifolds