Year 2013,
Volume: 3 Issue: 1, 46 - 60, 01.06.2013
Abstract
In this paper, Firstly we define NC-Smarandache curve, then we calculate the curvature andtorsion of NB and TNB- Smarandache curves together with NC-Smarandache curve. Here T,N and B are Frenet vectors of a curve α and vector C is unit Darboux vector.Key words: Smarandache Curves
Keywords
References
- Turgut,M.,Yılmaz,S.,2008. Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, Vol.3, pp.51-55.
- Ali, A. T., 2010. Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, pp.30-36.
- Çetin M., Tuncer Y. and Karacan M. K., 2011. Smarandache Curves According to Bishop Frame in Euclidean 3- Space, arXiv: 1106. 3202 v1 [math. DG].
- Bektaş Ö.,Yüce S., 2013. Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematics and Computer science, vol:3,ıssue:1,pp:48-59.
- Bayrak N., Bektaş Ö. and Yüce S.,2012. Special Smarandache Curves inE, arXiv:1204.566v1 [math.HO].
- Taşköprü K., Tosun M.,2014. Smarandache Curves onS, Boletim da Sociedade paranaense de Matemtica 3 srie. vol:32, no:1, pp.51-59, ıssn-0 037-8712.
- Hacısalioğlu, H.H.,1983. Diferensiyel Geometri. İnönü Üniversitesi Fen-Edebiyat Fakültesi Yayınları, Mat. no.7, Malatya.
Year 2013,
Volume: 3 Issue: 1, 46 - 60, 01.06.2013
Abstract
Bu çalışmada, bir eğrisinin Frenet vektörleri T, N, B ve birim Darboux vektörü C olmak
üzere NC -Smarandache eğrisi tanımlanarak bu eğri ile birlikte NB veTNB-Smarandache
eğrilerinin eğrilik ve torsiyonu hesaplanmıştır.
References
- Turgut,M.,Yılmaz,S.,2008. Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, Vol.3, pp.51-55.
- Ali, A. T., 2010. Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, pp.30-36.
- Çetin M., Tuncer Y. and Karacan M. K., 2011. Smarandache Curves According to Bishop Frame in Euclidean 3- Space, arXiv: 1106. 3202 v1 [math. DG].
- Bektaş Ö.,Yüce S., 2013. Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematics and Computer science, vol:3,ıssue:1,pp:48-59.
- Bayrak N., Bektaş Ö. and Yüce S.,2012. Special Smarandache Curves inE, arXiv:1204.566v1 [math.HO].
- Taşköprü K., Tosun M.,2014. Smarandache Curves onS, Boletim da Sociedade paranaense de Matemtica 3 srie. vol:32, no:1, pp.51-59, ıssn-0 037-8712.
- Hacısalioğlu, H.H.,1983. Diferensiyel Geometri. İnönü Üniversitesi Fen-Edebiyat Fakültesi Yayınları, Mat. no.7, Malatya.
There are 7 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Review Articles |
| Authors | |
| Publication Date | June 1, 2013 |
| Submission Date | March 1, 2015 |
| Published in Issue | Year 2013 Volume: 3 Issue: 1 |