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• where c is nonzero constants. From Theorem 3.2, by using the relation κτ = , we obtain differential equation λ (κ)2=−2λcκ2. Solving this equation, we obtain κ τ and κ = 2λe τ , if λc < 0 for some nonzero constant λ and c . Thus, the proposition is proved. In case of spacelike generalized helix is the Mannheim partner curve of some Cartan framed null curve α = α(s) , the proof is similar.