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

Emel Karaca

doi:10.17776/csj.1057212

EN

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

Abstract

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.

Keywords

Ruled surface, Dual space, Natural lift curve, RM vectors

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Emel Karaca ^*
0000-0003-0703-939X
Türkiye

Publication Date

June 29, 2022

Submission Date

January 13, 2022

Acceptance Date

May 5, 2022

Published in Issue

Year 2022 Volume: 43 Number: 2

DOI

https://doi.org/10.17776/csj.1057212

IZ

https://izlik.org/JA49KA38XC

APA

Karaca, E. (2022). Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves. Cumhuriyet Science Journal, 43(2), 308-315. https://doi.org/10.17776/csj.1057212

AMA

1.Karaca E. Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves. CSJ. 2022;43(2):308-315. doi:10.17776/csj.1057212

Chicago

Karaca, Emel. 2022. “Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves”. Cumhuriyet Science Journal 43 (2): 308-15. https://doi.org/10.17776/csj.1057212.

EndNote

Karaca E (June 1, 2022) Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves. Cumhuriyet Science Journal 43 2 308–315.

IEEE

[1]E. Karaca, “Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves”, CSJ, vol. 43, no. 2, pp. 308–315, June 2022, doi: 10.17776/csj.1057212.

ISNAD

Karaca, Emel. “Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves”. Cumhuriyet Science Journal 43/2 (June 1, 2022): 308-315. https://doi.org/10.17776/csj.1057212.

JAMA

1.Karaca E. Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves. CSJ. 2022;43:308–315.

MLA

Karaca, Emel. “Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves”. Cumhuriyet Science Journal, vol. 43, no. 2, June 2022, pp. 308-15, doi:10.17776/csj.1057212.

Vancouver

1.Emel Karaca. Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves. CSJ. 2022 Jun. 1;43(2):308-15. doi:10.17776/csj.1057212

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