On Symplectc half-flat manifolds

Details On Symplectc half-flat manifolds On Symplectc half-flat manifolds

2006-05-31

arxiv.org/abs/math/0605788v4

Mathematics

Symplectic Geometry

New version of "On Special Generalized Calabi-Yau Manifolds". To appear in "Manuscripta Mathematica"

Scientific paper

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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