Some Applications on Spherical Indicatrices of the Helix Curve-Reference-Cited by-同舟云学术

Some Applications on Spherical Indicatrices of the Helix Curve

Published:2024-06-30 Issue:1 Volume:14 Page:154-175
ISSN:2146-6440
Container-title:Ordu Üniversitesi Bilim ve Teknoloji Dergisi
language:
Short-container-title:

Author:

Şenyurt Süleyman¹^ORCID,Gür Mazlum Sümeyye²^ORCID

Affiliation:

1. ORDU UNIVERSITY

2. Gümüşhane Üniversitesi

Abstract

In this study, the Frenet elements of the curves that are drawn on the unit sphere by the unit vectors obtained from linear combinations of Frenet vectors of the helix curve are calculated. Moreover, Sabban frames of these curves are created and Smarandache curves are defined. Finally, the geodesic curvatures of each Smarandache curve are calculated.

Publisher

Ordu University

Reference22 articles.

1. Abbena, E., Salamon, S., & Gray, A. (2017). Modern differential geometry of curves and surfaces with Mathematica. CRC Press (3rd Edition). https://doi.org/10.1201/9781315276038

2. Alıç, Ş., & Yılmaz, B. (2021). Smarandache Curves according to alternative frame in . Journal of Universal Mathematics, 4(2), 140-156. https://doi.org/10.33773/jum.956862

3. Ali, A. T. (2010). Special smarandache curves in the euclidean space. International Journal of Mathematical Combinatorics, 2, 30-36. https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=710cb20458012e6eb683d3e29998cd0e57325b1e

4. Bektaş Ö. and Yüce, S. (2013). Special smarandache curves according to darboux frame in . Romanian Journal of Mathematics and Computer Science, 3(1), 48-59. https://arxiv.org/pdf/1203.4830

5. Çetin, M., Tunçer, Y., & Karacan, M. K. (2014). Smarandache curves according to Bishop frame in Euclidean 3-space. Gen. Math. Notes, 20(2), 50-66. https://fs.unm.edu/SN/MA-SmarandacheCurvesAccordingBishop.pdf

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Applications on Spherical Indicatrices of the Helix Curve;Ordu Üniversitesi Bilim ve Teknoloji Dergisi;2024-06-30