AI 中文总结
本文对带乘积结构的洛伦兹四维幂零李群，计算两类联络及其曲率并分类其对应的代数里奇孤子。
AI 中文摘要
本文对带有乘积结构的洛伦兹四维幂零李群，计算其典范联络与Kobayashi-Nomizu联络及其曲率，同时对与这些联络相关的代数里奇孤子进行分类。
英文摘要
In this paper, we compute the canonical and Kobayashi-Nomizu connections, together with their curvature, on Lorentzian four-dimensional nilpotent Lie groups endowed with a product structure. We also classify the algebraic Ricci solitons associated with these connections.
