论文标题
带有HKT几何形状的组歧管和同质空间：自动形态的作用
Group manifolds and homogeneous spaces with HKT geometry: the role of automorphisms
论文作者
论文摘要
我们提供了一个新的简单证明，证明了某些组流形以及维度4N的某些均匀空间g/h承认相对于相同的繁殖bismut Connection的Quaternionic三重三元三倍，它们是协方差恒定的，即呈现HKT的几何形状。关键观察结果是，不同的复杂结构与谎言代数的自动形态相互关联。要构建四元三元，只需要构建适当的自动形态，这是一个更简单的问题。
We present a new simple proof of the fact that certain group manifolds as well as certain homogeneous spaces G/H of dimension 4n admit a quaternionic triple of integrable complex structures that are covariantly constant with respect to the same torsionful Bismut connection, i.e. exhibit the HKT geometry. The key observation is that different complex structures are interrelated by automorphisms of the Lie algebra. To construct the quaternion triples, one only needs to construct the proper automorphisms, which is a more simple problem.
