Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 5 Sayı: 1, 122 - 136, 30.04.2017
https://doi.org/10.36753/mathenot.421717

Öz

Kaynakça

  • [1] Ali, A. T., Special Smarandache Curves in the Euclidean Space, Intenational Journal of Mathematical Combinatorics, 2(2010), 30-36.
  • [2] Bektaş, Ö. and Yüce, S., Special Smarandache Curves According to Dardoux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer science, 3(2013), no.1, 48-59.
  • [3] Bayrak, N., Bekta¸s, Ö. and Yüce, S., Special Smarandache Curves in E_1^3, International Conference on Applied Analysis and Algebra, Yıldız Techinical University, 209, 2012.
  • [4] Çalışkan, A. and Şenyurt, S. Smarandache Curves In terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, 31(2015), no.2, 1-15.
  • [5] Çetin, M., Tuncer, Y. and Karacan M.K., Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20(2014), 50-66.
  • [6] Hacısalihoğlu, H.H. Differential Geometry, ˙Inönü University, Malatya, Mat. no.7, 1983.
  • [7] Liu, H. and Wang, F., Mannheim partner curves in 3-space, Journal of Geometry, 88(2008), no.1-2, 120-126(7).
  • [8] Orbay, K. and Kasap, E., On Mannheim partner curves in, International Journal of Physical Sciences,4 (2009), no.5, 261-264.
  • [9] Sabuncuoğlu, A. Differential Geometry, Nobel Publications, Ankara, 2006.
  • [10] Turgut, M. and Yılmaz, S., Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, 3(2008), 51-55.
  • [11] Wang, F.,and Liu, H., Mannheim Partner Curves in 3-Space, Proceedings of The Eleventh International Workshop on Diff. Geom., 11(2007), 25-31.

Smarandache Curves of Mannheim Curve Couple According to Frenet Frame

Yıl 2017, Cilt: 5 Sayı: 1, 122 - 136, 30.04.2017
https://doi.org/10.36753/mathenot.421717

Öz

In this paper, when the Frenet vectors of the partner curve of Mannheim curve are taken as the position
vectors, the curvature and the torsion of Smarandache curves are calculated. These values are expressed
depending upon the Mannheim curve. Besides, we illustrate example of our main results. 

Kaynakça

  • [1] Ali, A. T., Special Smarandache Curves in the Euclidean Space, Intenational Journal of Mathematical Combinatorics, 2(2010), 30-36.
  • [2] Bektaş, Ö. and Yüce, S., Special Smarandache Curves According to Dardoux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer science, 3(2013), no.1, 48-59.
  • [3] Bayrak, N., Bekta¸s, Ö. and Yüce, S., Special Smarandache Curves in E_1^3, International Conference on Applied Analysis and Algebra, Yıldız Techinical University, 209, 2012.
  • [4] Çalışkan, A. and Şenyurt, S. Smarandache Curves In terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, 31(2015), no.2, 1-15.
  • [5] Çetin, M., Tuncer, Y. and Karacan M.K., Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20(2014), 50-66.
  • [6] Hacısalihoğlu, H.H. Differential Geometry, ˙Inönü University, Malatya, Mat. no.7, 1983.
  • [7] Liu, H. and Wang, F., Mannheim partner curves in 3-space, Journal of Geometry, 88(2008), no.1-2, 120-126(7).
  • [8] Orbay, K. and Kasap, E., On Mannheim partner curves in, International Journal of Physical Sciences,4 (2009), no.5, 261-264.
  • [9] Sabuncuoğlu, A. Differential Geometry, Nobel Publications, Ankara, 2006.
  • [10] Turgut, M. and Yılmaz, S., Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, 3(2008), 51-55.
  • [11] Wang, F.,and Liu, H., Mannheim Partner Curves in 3-Space, Proceedings of The Eleventh International Workshop on Diff. Geom., 11(2007), 25-31.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Süleyman Şenyurt Bu kişi benim

Abdussamet Çalışkan

Yayımlanma Tarihi 30 Nisan 2017
Gönderilme Tarihi 11 Ekim 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Şenyurt, S., & Çalışkan, A. (2017). Smarandache Curves of Mannheim Curve Couple According to Frenet Frame. Mathematical Sciences and Applications E-Notes, 5(1), 122-136. https://doi.org/10.36753/mathenot.421717
AMA Şenyurt S, Çalışkan A. Smarandache Curves of Mannheim Curve Couple According to Frenet Frame. Math. Sci. Appl. E-Notes. Nisan 2017;5(1):122-136. doi:10.36753/mathenot.421717
Chicago Şenyurt, Süleyman, ve Abdussamet Çalışkan. “Smarandache Curves of Mannheim Curve Couple According to Frenet Frame”. Mathematical Sciences and Applications E-Notes 5, sy. 1 (Nisan 2017): 122-36. https://doi.org/10.36753/mathenot.421717.
EndNote Şenyurt S, Çalışkan A (01 Nisan 2017) Smarandache Curves of Mannheim Curve Couple According to Frenet Frame. Mathematical Sciences and Applications E-Notes 5 1 122–136.
IEEE S. Şenyurt ve A. Çalışkan, “Smarandache Curves of Mannheim Curve Couple According to Frenet Frame”, Math. Sci. Appl. E-Notes, c. 5, sy. 1, ss. 122–136, 2017, doi: 10.36753/mathenot.421717.
ISNAD Şenyurt, Süleyman - Çalışkan, Abdussamet. “Smarandache Curves of Mannheim Curve Couple According to Frenet Frame”. Mathematical Sciences and Applications E-Notes 5/1 (Nisan 2017), 122-136. https://doi.org/10.36753/mathenot.421717.
JAMA Şenyurt S, Çalışkan A. Smarandache Curves of Mannheim Curve Couple According to Frenet Frame. Math. Sci. Appl. E-Notes. 2017;5:122–136.
MLA Şenyurt, Süleyman ve Abdussamet Çalışkan. “Smarandache Curves of Mannheim Curve Couple According to Frenet Frame”. Mathematical Sciences and Applications E-Notes, c. 5, sy. 1, 2017, ss. 122-36, doi:10.36753/mathenot.421717.
Vancouver Şenyurt S, Çalışkan A. Smarandache Curves of Mannheim Curve Couple According to Frenet Frame. Math. Sci. Appl. E-Notes. 2017;5(1):122-36.

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