论文标题
三维Lorentzian Lie组的规范连接和代数Ricci孤子
Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
论文作者
论文摘要
在本文中，我们计算具有某些产品结构的三维Lorentzian Lie基团的规范连接和Kobayashi-Nomizu连接及其曲率。我们定义了与规范连接和Kobayashi-Nomizu连接相关的代数Ricci孤子。我们对具有某些产品结构的三维Lorentzian Lie组上的代数ricci孤子分类与规范连接和Kobayashi-Nomizu连接相关。
In this paper, we compute canonical connections and Kobayashi-Nomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure. We define algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections. We classify algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure.
