@article{Li2025, 
author = {Xinrui Li and Jiajing Miao and Haiming Liu},
title = {Perturbed Bott algebraic Schouten solitons on 3D Lorentzian Lie groups},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {12},
pages = {7676-7698},
keywords = {algebraic Schouten solitons, perturbed Bott connection, Lorentzian Lie groups},
url = {https://www.sciopen.com/article/10.3934/era.2025339},
doi = {10.3934/era.2025339},
abstract = {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.}
}