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

Cumhuriyet Science Journal

article

Emel KARACA¹ 

[1] Ankara Hacı Bayram Veli Üniversitesi

关键词: Ruled surface;    Dual space;    Natural lift curve;    RM vectors;   

DOI  :  10.17776/csj.1057212

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND