We prove that the Calabi-Yau equation can be solved on the Kodaira-Thurston manifold for all given T2-invariant volume forms. This provides support for Donaldson's conjecture that Yau's theorem has an extension to symplectic 4-manifolds with compatible but non-integrable almost complex structures.
|Original language||English (US)|
|Number of pages||11|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - Apr 2011|
- almost complex
- Kodaira-Thurston manifold
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