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Year 2021, Volume: 4 Issue: 2, 140 - 156, 31.07.2021

Şenay Alıç Beyhan Yılmaz

https://doi.org/10.33773/jum.956862
Cited By: 2

Abstract

References

  • H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
  • M. Turgut and S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3, 51-55, (2008).
  • A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2, 30-36, (2010).
  • S. Şenyurt and S. Sivas, An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech. 3(1), 46-60, (2013).
  • 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).
  • B. Uzunoğlu, I. Gök and Y. Yaylı, A New Approach on Curves of Constant Precession, Appl. Math. Comput. 275, 317-323, (2016).

SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3

Year 2021, Volume: 4 Issue: 2, 140 - 156, 31.07.2021

Şenay Alıç Beyhan Yılmaz

https://doi.org/10.33773/jum.956862
Cited By: 2

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

Euclidean Space Frenet frame Smarandache Curves Alternative frame

References

  • H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
  • M. Turgut and S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3, 51-55, (2008).
  • A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2, 30-36, (2010).
  • S. Şenyurt and S. Sivas, An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech. 3(1), 46-60, (2013).
  • 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).
  • B. Uzunoğlu, I. Gök and Y. Yaylı, A New Approach on Curves of Constant Precession, Appl. Math. Comput. 275, 317-323, (2016).
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Şenay Alıç 0000-0001-9375-3746

Beyhan Yılmaz 0000-0002-5091-3487

Publication Date July 31, 2021
Submission Date June 24, 2021
Acceptance Date July 27, 2021
Published in Issue Year 2021 Volume: 4 Issue: 2

Cite

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 Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. July 2021;4(2):140-156. doi:10.33773/jum.956862
Chicago Alıç, Şenay, and Beyhan Yılmaz. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics 4, no. 2 (July 2021): 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 Ş. Alıç and B. Yılmaz, “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”, JUM, vol. 4, no. 2, pp. 140–156, 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 2021), 140-156. https://doi.org/10.33773/jum.956862.
JAMA 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, 2021, pp. 140-56, doi:10.33773/jum.956862.
Vancouver Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021;4(2):140-56.

Cited By

On Bishop Frames of Any Regular Curve in Euclidean 3-Space
Afyon Kocatepe University Journal of Sciences and Engineering
https://doi.org/10.35414/akufemubid.1343172
Smarandache Curves According to Flc-frame in Euclidean 3-space
Fundamentals of Contemporary Mathematical Sciences
https://doi.org/10.54974/fcmathsci.1142404
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