Abstract
We give a classification of 3—dimensional conformally flat contact metric manifolds satisfying: ∇ξτ=0(τ=Lξg) orR(Y, Z)ξ=k[η(Z)Y−η(Y)Z]+Μ[η(Z)hY]−η(Y)hZ] wherek andΜ are functions. It is proved that they are flat (the non-Sasakian case) or of constant curvature 1 (the Sasakian case).
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