In this study, the ruled surface generated by the natural lift curve in IR^3 is obtained by using the isomorphism between unit dual sphere, DS^2 and the subset of the tangent bundle of unit 2-sphere, T\bar{M}. Then, exploitting E. Study mapping and the isomorphism mentioned below, each natural lift curve on T\bar{M} is corresponded to the ruled surface in IR^3. 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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | June 29, 2022 |
Submission Date | January 13, 2022 |
Acceptance Date | May 5, 2022 |
Published in Issue | Year 2022 |