Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space

Yıl 2018, Cilt: 6 Sayı: 1, 1 - 6, 01.05.2018

T. KAHRAMAN

Öz

In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean

Anahtar Kelimeler

Null Quaternionic Curves, Smarandache curves, Serret-Frenet formulae

Minkowski 3-uzayında Null Kuaterniyonik Eğrilerin Smarandache Eğrileri

Öz

Bu çalışmada, E semi-Öklidyen uzaydaki null kuaterniyonik eğrilerin Smarandache eğrilerini tanımlarız ve null kuaterniyonik eğrilerin eğriliklerinin, Smarandache eğriler için bazı özelliklere sahip olduğunu elde ederiz

Anahtar Kelimeler

Null Kuaterniyonik Eğriler, Smarandache Eğriler, Serret-Frenet formülleri

Kaynakça

• Ali A.T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, (2010), 30-36.
• Bharathi, K., Nagaraj, M., Quaternion valued function of a real variable Serret-Frenet formula, Indian J. Pure Appl. Math. 18(6), (1987), 507-511.
• Çetin, M., Kocayiğit, H., On the Quaternionic Smarandache curves in Euclidean 3
• space, Int. J. Contemp. Math. Sciences, Vol. 8(3), (2013), 139 -150.
• Çöken, A.C., Tuna, A., On the quaternionic inclined curves in the semi-Euclidean space
• , Applied Mathematics and Computation, 155, (2004), 373-389. E4, Applied Mathematics and Computation, 155, (2004), 373-389.
• Çöken, A.C., Tuna, A., Null Quaternionic Curves in Semi-Euclidean 3-Space of Index v, Acta Physica Polonica A, Vol. 128, (2015), 2-B, 286-289.
• Çöken, A.C., Tuna, A., Serret–Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space IR, Acta Physica Polonica A, Vol. 128, (2015), 2-B 293-296.
• , Acta Physica Polonica A, Vol. 128, (2015), 2-B 293-296. 1
• Kahraman, T., Önder, M., Uğurlu, H.H., Blaschke approach to dual Smarandache
• curves, Journal of Advanced Research in Dynamical and Control Systems, 5(3), (2013), 13-25.
• Kahraman, T., Uğurlu, H. H., Dual Smarandache Curves and Smarandache Ruled
• Surfaces, Mathematical Sciences and Applications E-Notes, Vol. 2(1), (2014), 83-98.
• Kahraman, T., Uğurlu, H. H., Dual Smarandache Curves of a Curve lying on unit Dual
• Hyperbolic Sphere, The Journal of Mathematics and Computer Science, 14, (2015), 326- 344.
• Öztürk, E. B., Öztürk, U., İlarslan, K., Nesovic, E., On Pseudohyperbolical
• Smarandache Curves in Minkowski 3-space, International journal of Mathematics and Mathematical Sciences, Vol. (2013), http://dx.doi.org/10.1155/2013/658670 .
• Şenyurt, S., Çalışkan, A., An Application According to Spatial Quaternionic
• Smarandache Curve, Applied Mathematical Sciences, Vol. 9(5), (2015), 219 – 228.
• Şenyurt, S., Çalışkan, A., N C− Smarandache Curves of Mannheim Curve Couple *
• *− Smarandache Curves of Mannheim Curve Couple According to Frenet Frame, International J. Math. Combin. Vol.1, (2015), 1-13.
• Taşköprü, K., Tosun, M., Smarandache Curves on S , Bol. Soc. Paran. Mat., Vol.32(1), 2 (2014), 51-59.
• Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-time, Int. J. Math. Comb., 3, (2008), 51-55.