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Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space

Year 2018, Volume: 6 Issue: 1, 1 - 6, 01.05.2018

Abstract

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

References

  • 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.

Minkowski 3-uzayında Null Kuaterniyonik Eğrilerin Smarandache Eğrileri

Year 2018, Volume: 6 Issue: 1, 1 - 6, 01.05.2018

Abstract

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

References

  • 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.
There are 23 citations in total.

Details

Other ID JA68CF76HC
Journal Section Research Article
Authors

T. Kahraman This is me

Publication Date May 1, 2018
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

APA Kahraman, T. (2018). Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space. MANAS Journal of Engineering, 6(1), 1-6.
AMA Kahraman T. Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space. MJEN. May 2018;6(1):1-6.
Chicago Kahraman, T. “Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-Space”. MANAS Journal of Engineering 6, no. 1 (May 2018): 1-6.
EndNote Kahraman T (May 1, 2018) Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space. MANAS Journal of Engineering 6 1 1–6.
IEEE T. Kahraman, “Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space”, MJEN, vol. 6, no. 1, pp. 1–6, 2018.
ISNAD Kahraman, T. “Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-Space”. MANAS Journal of Engineering 6/1 (May 2018), 1-6.
JAMA Kahraman T. Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space. MJEN. 2018;6:1–6.
MLA Kahraman, T. “Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-Space”. MANAS Journal of Engineering, vol. 6, no. 1, 2018, pp. 1-6.
Vancouver Kahraman T. Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space. MJEN. 2018;6(1):1-6.

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