Erdo?an M.Alo J.Pirinçci B.2024-03-132024-03-1320111992-1950https://hdl.handle.net/20.500.12662/3223Let (Mn 1, g), n ? 4, be an n-dimensional homogeneous Lorentzian manifold of which the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit timelike (spacelike) tangent vectors (known as conformally Osserman Lorentzian manifolds). Then Mn 1 is a conformally Osserman Lorentzian manifold if and only if Mn 1 is a conformally flat manifold, (Blazic, 2005). In this paper, by utilizing this equivalence and the similar arguments in Erdogan and Ikawa (1995) and Sekigawa and Takagi (1971), we classify locally conformally flat homogeneous Lorentzian manifolds and, equivalently, as well as conformally Osserman Lorentzian manifolds which satisfy a condition on the Ricci tensor. ©2011 Academic Journals.eninfo:eu-repo/semantics/closedAccessConformal Jacobi operatorConformally manifoldConformally Osserman manifoldWeyl conformal tensorArticle2-s2.0-799574457598004N/A7966