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Timelike Curves on Timelike Parallel Surfaces in Minkowski 3-space E31

Sezai KIZILTUG and Yusuf YAYLI

In this paper,we study timelike curves on timelike parallel surfaces in Minkowski 3-spaces E 3 1 .Using the deÖnition of parallel surface we Önd images of timelike curve which lie on timelike surface in Minkowski 3- spaces.Subsequently we obtain relationships between the geodesic curvature,the normal curvature, the geodesic torsion of curve and its image curve.Besides,we give some characterization for its image curve