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

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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 G₁ and G₇ admit rich non-trivial CRCs associated with ∇^B1, highlighting the rich geometric structure induced by this connection.

Keywords

conformal Ricci collineations / Bott connections / Lorentzian Lie groups

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