manuscripta mathematica

, Volume 125, Issue 4, pp 515–530

On symplectic half-flat manifolds


DOI: 10.1007/s00229-007-0158-3

Cite this article as:
Tomassini, A. & Vezzoni, L. manuscripta math. (2008) 125: 515. doi:10.1007/s00229-007-0158-3


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.

Mathematics Subject Classification (2000)


Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di ParmaParmaItaly
  2. 2.Dipartimento di MatematicaUniversità di TorinoTorinoItaly