论文标题
二维nilpotent Lie群体上的剩余不变的几乎是占用的结构
Left-invariant almost para-Kähler structures on six-dimensional nilpotent Lie groups
论文作者
论文摘要
在本文中，我们考虑了六维nilpotent Lie组上的左旋para复合结构。获得了para-kähller结构的六维nilpotent Lie基团的完整列表，发现了针对Para-复合结构的明确表达式，并研究了相关的Para-Kähler指标的曲率特性。结果表明，副复合结构是nilpotent的，相应的para-kähler指标是ricci-flat。
In this paper, we consider left-invariant para-complex structures on six-dimensional nilpotent Lie groups. A complete list of six-dimensional nilpotent Lie groups that admit para-Kähler structures is obtained, explicit expressions for para-complex structures are found, and curvature properties of associated para-Kähler metrics are investigated. It is shown that paracomplex structures are nilpotent and the corresponding para-Kähler metrics are Ricci-flat.
