The Calabi-Yau equation on the Kodaira-Thurston manifold

Details The Calabi-Yau equation on the Kodaira-Thurston manifold The Calabi-Yau equation on the Kodaira-Thurston manifold

2009-06-03

arxiv.org/abs/0906.0634v1

J. Inst. Math. Jussieu 10 (2011), no.2, 437-447

Mathematics

Differential Geometry

12 pages

Scientific paper

10.1017/S1474748010000289

We prove that the Calabi-Yau equation can be solved on the Kodaira-Thurston
manifold for all given $T^2$-invariant volume forms. This provides support for
Donaldson's conjecture that Yau's theorem has an extension to symplectic
four-manifolds with compatible but non-integrable almost complex structures.

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