On symplectic half-flat manifolds

被引：13

作者：

Tomassini, Adriano

Vezzoni, Luigi ^{[1
]}

机构：

[1] Univ Turin, Dipartmento Matemat, I-10123 Turin, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2008年 / 125卷 / 04期

关键词：

53C15; 53C38; 22E25;

D O I：

10.1007/s00229-007-0158-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

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页码：515 / 530

页数：16

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