On conformal Ricci collineations associated with the Bott connection on three-dimensional Lorentzian Lie groups

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 ${\mathrm{\nabla }}^{B_1}$, highlighting the rich geometric structure induced by this connection.