@article{Jiang2026, 
author = {Jinguo Jiang and Yanni Yang},
title = {On conformal Ricci collineations associated with the Bott connection on three-dimensional Lorentzian Lie groups},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {3166-3192},
keywords = {conformal Ricci collineations, Bott connections, Lorentzian Lie groups},
url = {https://www.sciopen.com/article/10.3934/era.2026143},
doi = {10.3934/era.2026143},
abstract = {This paper presents a complete classification of conformal Ricci collineations (CRCs) associated with the Bott connection on three-dimensional Lorentzian Lie groups. For each of the seven distinct classes of such groups, we derive explicit conditions under which left-invariant vector fields define CRCs, and we characterize the corresponding solution spaces. Specifically, we find that groups        G          1       and        G          7       admit rich non-trivial CRCs associated with        ∇                  B                  1                    , highlighting the rich geometric structure induced by this connection.}
}