论文标题
关于在六个同伴中的平衡指标的存在
On the existence of balanced metrics on six-manifolds of cohomogeneity one
论文作者
论文摘要
我们考虑具有荷兰型琐碎的规范捆绑包上的复杂歧管上的平衡指标，最常见于均衡的$ \ rm {su}（n）$ - 结构。这种结构对于冬宫的几何形状和弦理论都是感兴趣的，因为它们为船体覆盖系统提供了理想的设置。在本文中，我们为平衡的non-kähler$ \ rm {su}（3）$ - 结构提供了一个不存在的结果，这些结构是在同时性的一项动作下简单地连接的六个manifolds的一个动作。
We consider balanced metrics on complex manifolds with holomorphically trivial canonical bundle, most commonly known as balanced $\rm{SU}(n)$-structures. Such structures are of interest for both Hermitian geometry and string theory, since they provide the ideal setting for the Hull-Strominger system. In this paper, we provide a non-existence result for balanced non-Kähler $\rm{SU}(3)$-structures which are invariant under a cohomogeneity one action on simply connected six-manifolds.
