The Calabi–Yau equation on the Kodaira–Thurston manifold
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Publication:2999445
DOI10.1017/S1474748010000289zbMath1219.53072arXiv0906.0634OpenAlexW3105417249MaRDI QIDQ2999445
Ben Weinkove, Valentino Tosatti
Publication date: 13 May 2011
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0634
Symplectic manifolds (general theory) (53D05) Calabi-Yau theory (complex-analytic aspects) (32Q25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Almost complex manifolds (32Q60)
Related Items
Complex Monge-Ampère equations and totally real submanifolds, On the Calabi-Yau equation in the Kodaira-Thurston manifold, Solvability of a class of fully nonlinear elliptic equations on tori, A note on tame/compatible almost complex structures on four-dimensional Lie algebras, Kodaira dimensions of almost complex manifolds, I, Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection, The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds, \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry, A note on canonical Ricci forms on $2$-step nilmanifolds, The Calabi–Yau equation on 4-manifolds over 2-tori, The Monge-Ampère equation for non-integrable almost complex structures, Chern-flat and Ricci-flat invariant almost Hermitian structures
Cites Work
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- On some 4-dimensional compact Einstein almost Kähler manifolds
- Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
- Taming symplectic forms and the Calabi-Yau equation
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- On the Structure of Compact Complex Analytic Surfaces, I
- Symplectic manifolds with no Kähler structure
