Publications
Sort:
Open Access Research Article Issue
On conformal Ricci collineations associated with the Bott connection on three-dimensional Lorentzian Lie groups
Electronic Research Archive 2026, 34(5): 3166-3192
Published: 15 May 2026
Abstract PDF (581.2 KB) Collect
Downloads:0

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.

Total 1