论文标题
一类六维nilpotent Lie群的左右指标的模量空间
The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups
论文作者
论文摘要
在本文中，我们确定了模量空间，直至等轴测自动形态，左右的指标在$ 6 $二维的谎言组上$ h $，因此其Lie代数$ \ mathfrak {h h} $允许一个复杂的结构，并且具有第一个betti数量。我们还研究了这些指标中的哪个是遗传学，并对相应的复杂结构进行了分类。
In this paper we determine the moduli space, up to isometric automorphism, of left-invariant metrics on a $6$-dimensional Lie group $H$, such that its Lie algebra $\mathfrak{h}$ admits a complex structure and has first Betti number equal to four. We also investigate which of these metrics are Hermitian and classify the corresponding complex structures.
