Perturbed Bott algebraic Schouten solitons on 3D Lorentzian Lie groups

In this paper, we defined and classified the algebraic Schouten solitons that are associated with the perturbed Bott connection on three-dimensional Lorentzian Lie groups possessing three distinct distributions. By transforming equations of perturbed Bott algebraic Schouten solitons into algebraic equations, we found that $G_3,G_5,G_6$, and $G_7$ have perturbed Bott algebraic Schouten solitons under the first distribution. $G_3,G_6$, and $G_7$ have such solitons under the second distribution. Additionally, $G_2,G_3,G_4,G_5,G_6$, and $G_7$ have such solitons under the third distribution.