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

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

Cite

RIS / Bibtex

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

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3- Boyutlu Öklid Uzayında 3-Tipinde Bishop Çatısına Göre Regle Yüzeyler

Gazi Üniversitesi Fen Fakültesi Dergisi

https://doi.org/10.63716/guffd.1762272

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

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Another application of Smarandache based ruled surfaces with the Darboux vector according to Frenet frame in $E^{3}$

3- Boyutlu Öklid Uzayında 3-Tipinde Bishop Çatısına Göre Regle Yüzeyler