On Symplectc half-flat manifolds
辛几何
2014-05-26 v4
摘要
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.
引用
@article{arxiv.math/0605788,
title = {On Symplectc half-flat manifolds},
author = {Adriano Tomassini and Luigi Vezzoni},
journal= {arXiv preprint arXiv:math/0605788},
year = {2014}
}
备注
New version of "On Special Generalized Calabi-Yau Manifolds". To appear in "Manuscripta Mathematica"