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The Calabi-Yau equation for $T^2$-bundles over $\mathbb{T}^2$: the non-Lagrangian case

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Publication:2898488
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zbMath1247.53085arXiv1201.2846MaRDI QIDQ2898488

Ernesto Buzano, Luigi Vezzoni, Anna Fino

Publication date: 11 July 2012

Full work available at URL: https://arxiv.org/abs/1201.2846


zbMATH Keywords

Monge-Ampère equationCalabi-Yau equationalmost-Kähler structureKodaira-Thurston surface


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Almost complex manifolds (32Q60)


Related Items (3)

On the Calabi-Yau equation in the Kodaira-Thurston manifold ⋮ Solvability of a class of fully nonlinear elliptic equations on tori ⋮ \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry






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