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On Symplectc half-flat manifolds

Adriano Tomassini·Luigi Vezzoni
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Abstract

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.

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Adriano Tomassini, Luigi Vezzoni. 2008-01-13. On Symplectc half-flat manifolds. https://arxiv.org/abs/math/0605788

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