Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves

In this study, the ruled surface generated by the natural lift curve in IR3 is obtained by using the isomorphism between unit dual sphere, DS2 and the subset of the tangent bundle of unit 2-sphere, TM. Then, exploiting E. Study mapping and the isomorphism mentioned below, each natural lift curve on TM corresponds the ruled surface in . IR3 Moreover, the singularities of this ruled surface are examined according to RM vectors and these ruled surfaces have been classified. Some examples are given to support the main results.

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