ON DEFORMATIONS OF COMPACT BALANCED MANIFOLDS

被引：3

作者：

Saracco, Alberto ^{[1
]}

Tomassini, Adriano ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 02期

关键词：

Balanced metric; half-flat structure; deformation;

D O I：

10.1090/S0002-9939-2010-10559-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study suitable deformations of the complex structure on a compact balanced manifold (M, J, g, w), naturally associated with cohomology classes in H(2) (M, R). We construct curves of balanced structures on a compact holomorphically parallelizable 5-dimensional complex nilmanifold and of half-flat structures on a compact complex 3-dimensional solvmanifold respectively.

引用

页码：641 / 653

页数：13

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