EN
SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3
Abstract
In this study, we focus on Smarandache curves which is a special class of curves. These curves have previously been studied by many authors in different spaces. We will
re-characterize these curves with the help of an alternative frame different from Frenet frame. Also, we will obtain frame elements, curvature and torsion of these curves.
Keywords
References
- H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
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- K. Taşköprü and M. Tosun, Smarandache Curves on S2, Boletim da Sociedade paranaense de Matematica 3 serie, 32(1):51-59, (2014).
- M. Çetin, Y. Tuncer, M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space. General Mathematics Notes, 20:50-66 (2014).
- N. Bayrak, Ö. Bektaş, S. Yüce, Special Smarandache curves in E3 1, Communications Faculty of Sciences University of Ankara Series A1:Mathematics and Statistics, 65(2): 143-160, (2016).
- Ü. Çelik, Smarandache Curves of Bertrand Curve Pair According to Frenet Frame, Master’s Thesis, University of Ordu, (2016).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
July 31, 2021
Submission Date
June 24, 2021
Acceptance Date
July 27, 2021
Published in Issue
Year 2021 Volume: 4 Number: 2
APA
Alıç, Ş., & Yılmaz, B. (2021). SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. Journal of Universal Mathematics, 4(2), 140-156. https://doi.org/10.33773/jum.956862
AMA
1.Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021;4(2):140-156. doi:10.33773/jum.956862
Chicago
Alıç, Şenay, and Beyhan Yılmaz. 2021. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics 4 (2): 140-56. https://doi.org/10.33773/jum.956862.
EndNote
Alıç Ş, Yılmaz B (July 1, 2021) SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. Journal of Universal Mathematics 4 2 140–156.
IEEE
[1]Ş. Alıç and B. Yılmaz, “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”, JUM, vol. 4, no. 2, pp. 140–156, July 2021, doi: 10.33773/jum.956862.
ISNAD
Alıç, Şenay - Yılmaz, Beyhan. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics 4/2 (July 1, 2021): 140-156. https://doi.org/10.33773/jum.956862.
JAMA
1.Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021;4:140–156.
MLA
Alıç, Şenay, and Beyhan Yılmaz. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 140-56, doi:10.33773/jum.956862.
Vancouver
1.Şenay Alıç, Beyhan Yılmaz. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021 Jul. 1;4(2):140-56. doi:10.33773/jum.956862
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