@article{Miao2026, 
author = {Jiajing Miao and Xinrui Li and Haiming Liu},
title = {Affine Yano and perturbed Yano–Ricci solitons on Lorentzian Lie groups},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {3554-3572},
keywords = {affine Yano–Ricci solitons, affine perturbed Yano–Ricci solitons, Lorentzian Lie groups, affine Einstein manifold},
url = {https://www.sciopen.com/article/10.3934/era.2026159},
doi = {10.3934/era.2026159},
abstract = {In this paper, we defined affine Yano–Ricci solitons and perturbed Yano–Ricci solitons on three-dimensional Lorentzian Lie groups and obtain their complete classification. The major results indicated that all groups        G          3        ,  ⋯  ,      G          7       admit both affine Yano–Ricci solitons and their perturbed companions, whereas        G          1       supports neither. As a corollary, we found that the Lorentzian Lie groups        G          3        ,      G          5      , and        G          6       are affine Einstein manifolds with respect to the Yano connection.}
}