Spacelike Asli Normalli Spacelike Anti-Salkowski Eğrisinin Frenet Çatısına Göre Smarandache Eğrileri

Yıl 2020, Cilt: 10 Sayı: 1, 251 - 260, 15.01.2020

Süleyman Şenyurt , Kemal Eren

https://doi.org/10.17714/gumusfenbil.621363

Cited By: 6

Öz

Bu çalışmada, spacelike asli normalli spacelike anti-Salkowski eğrisinin Frenet vektörleri tarafından elde edilen TN , TB , NB ve TNB Smarandache eğrileri tanımlandı. Daha sonra, bu eğrilerinin Frenet vektörleri, eğrilik ve torsiyonu hesaplandı. Son olarak, maple proğramı ile eğrilerin grafikleri çizildi.

Anahtar Kelimeler

Minkowski space, spacelike anti-Salkowski curve, spacelike Smarandache curve

Smarandache Curves of Spacelike Anti-Salkowski Curve with a Spacelike Principal Normal According to Frenet Frame

Öz

In this study, the TN, TB, NB and TNB-Smarandache curves constructed by the Frenet vectors of spacelike anti-Salkowski curve with a spacelike principal normal were defined. Later, the Frenet vectors, the curvature and the torsion of this curves were calculated. Finally, the graphics of the curves were drawn with the maple program.

Anahtar Kelimeler

Minkowski uzayı, Spacelike anti-Salkowski eğri, Spacelike Smarandache eğri

Kaynakça

• Ali, A.T., 2010. Special Smarandache Curves in the Euclidian Space, International Journal of Mathematical Combinatorics, 2, 30-36.
• Ali, A.T., 2010. Timelike Salkowski and anti-Salkowski curves in Minkowski 3- space. J. Adv. Res. Dyn. Cont. Syst., 2, 17–26.
• Ali, A.T., 2009. Spacelike Salkowski and anti-Salkowski curves with spacelike principal normal in Minkowski 3-space. Int. J. Open Problems Comp. Math., 2, 451–460.
• Ali, A.T., 2011. Spacelike Salkowski and anti-Salkowski curves with timelike principal normal in Minkowski 3-space. Mathematica Aeterna, Vol.1, No.04, 201-210.
• Bektaş, Ö. and Yüce, S., 2013. Special Smarandache Curves According to Darboux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer sciencel, 3(1), 48-59.
• Çalışkan, A. and Şenyurt, S., 2015. Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, 31(2),1-15.
• Çetin, M., Tuncer, Y. and Karacan, M.K., 2014. Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20, 50-66.
• Monterde, J., 2009. Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided Geometric Design, 26(3), 271- 278.
• O'Neill, B., 1983. Semi-Riemannian Differential Geometry, Academic Press, USA.
• Salkowski, E., 1909. Zur Transformation von Raumkurven, Math. Ann., 66, 517-557.
• Şenyurt, S. and Sivas, S., 2013. An Application of Smarandache Curve, University of Ordu Journal of Science and Technology, 3(1), 46-60.
• Şenyurt, S. and Eren, K., 2019a. Smarandache curves of timelike anti-Salkowski curve according to Frenet frame, Blacksea 1. International Multidisciplinary Scientific Works Congress, 667-679.
• Şenyurt, S. and Eren, K., 2019b. Smarandache curves of timelike Salkowski curve according to Frenet frame, Blacksea 1. International Multidisciplinary Scientific Works Congress, 680-692.
• Taşköprü, K. and Tosun, M., 2014. Smarandache Curves on , Boletim da Sociedade Paranaense de Matematica 3 Srie.,32(1), 51-59.
• Turgut, M. and Yılmaz, S., 2008a. Smarandache Curves in Minkowski Spacetime, International J. Math. Combin., 3, 51-55.
• Turgut, M. and Yılmaz, S., 2008b. On the Differential Geometry of the curves in Minkowski spacetime I, Int. J. Contemp. Math. Sci. 3(27), 1343-1349.