On symplectic half-flat manifolds

被引：0
|
作者：
Adriano Tomassini
Luigi Vezzoni
机构：
[1] Università di Parma,Dipartimento di Matematica
[2] Università di Torino,Dipartimento di Matematica
来源：
manuscripta mathematica | 2008年 / 125卷
关键词：
53C15; 53C38; 22E25;
D O I：
暂无
中图分类号：
学科分类号：
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.
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收藏
页码：515 / 530
页数：15
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