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Spacelike Curves on Spacelike Parallel Surfaces in Minkowski 3-space E^3_1

Sezai Kızıltuğ, Yusuf Yaylı


In this paper,we study spacelike curves on spacelike parallel surfaces in Minkowski3-spaces E^3_1.Using the definition of parallel surface we find images of spacelike curve which lie on spacelike 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.


Parallel Surface,Darboux Frame,Geodesic curvature, Normal Curvature,Geodesic torsion.Minkowski 3-space

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