On symplectic half-flat manifolds
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- Tomassini, A. & Vezzoni, L. manuscripta math. (2008) 125: 515. doi:10.1007/s00229-007-0158-3
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We construct examples of symplectic half-flat manifolds on compact quotients of solvable Lie groups. We prove that the Calabi-Yau structures are not rigid in the class of symplectic half-flat structures. Moreover, we provide an example of a compact 6-dimensional symplectic half-flat manifold whose real part of the complex volume form is d-exact. Finally we discuss the 4-dimensional case.