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C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 5 8 , N u m b e r 1 , P a g e s 2 9 -3 8 (2 0 0 9 ) IS S N 1 3 0 3 -5 9 9 1 V n SLANT HELICES IN MINKOWSKI n-SPACE E n 1 · ISMAIL GÖK, ÇETIN CAMCI AND H. HILMI HACISALIHO ¼ GLUAbstract. In this paper we give a de…nition of harmonic curvature functions in terms of Vn and de…ne a new kind of slant helix which we call Vn slant helix in n dimensional Minkowski space E n 1 by using the new harmonic curvature functions : Also we de…ne a vector …eld D L which we call Darboux vector …eld of Vn slant helix in n dimensional Minkowski space E n 1 and we give some characterizations about slant helices.

In this paper, we give the spherical characterization of a regular curve in 3-dimensional Sasakian space. Furthermore the differential equation which expresses the mentioned characterization is solved.

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