Year 2016,
Volume: 65 Issue: 2, 143 - 160, 01.08.2016
Abstract
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve inMinkowski 3-space R. Then, we present some characterisations of Smarandache curves and calculate Frenet invariants of these curves. Moreover, weclassify TN; TB; NB and TNB-Smarandache curves of a regular curve parametrized by arc lengthcharacter ofby presenting a brief table with respect to the causal. Also, we will give some examples related to results
References
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- B. O’Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.
- M. Turgut, S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3 (2008) 51–55.
- A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Math- ematical Combinatorics, 2 (2010) 30–36.
- M. Çetin, Y. Tunçer, M. K. Karacan, Smarandache Curves According to Bishop Frame in Euclidean 3- Space, General Mathematics Notes, 20 (2) 2014 50–66
- Ö. Bekta¸s, S. Yüce, Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematics and Computer Science, 3 (2013) 48–59.
- R. Lopez, Diğerential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, Interna- tional Electronic Journal of Geometry, 7 (1) (2014) 44–107
- K. L. Duggal, A. Bejancu, Lightlike Submanifolds of Semi Riemannian Manifolds and Appli- cations, Kluwer Academic Publishers, Dordrecht, 1996. Current address : Nurten (BAYRAK) GÜRSES :Faculty of Art and Sciences, Department of
- Mathematics, Yıldız Technical University, 34220, ISTANBUL, TURKEY E-mail address : nbayrak@yildiz.edu.tr Current address : Özcan BEKTA¸S: Faculty of Art and Sciences, Department of Mathemat
- ics,Recep Tayyip Erdogan University, 53100, RIZE, TURKEY E-mail address : ozcan.bektas@erdogan.edu.tr Current address : Salim YÜCE: Faculty of Art and Sciences, Department of Mathematics
- Yıldız Technical University, 34220, ISTANBUL, TURKEY E-mail address : sayuce@yildiz.edu.tr
Year 2016,
Volume: 65 Issue: 2, 143 - 160, 01.08.2016
Abstract
References
- M.P. Do Carmo, Diğerential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliğs, NJ, 1976.
- B. O’Neill, Elementary Diğerential Geometry , Academic Press Inc. New York, 1966.
- B. O’Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.
- M. Turgut, S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3 (2008) 51–55.
- A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Math- ematical Combinatorics, 2 (2010) 30–36.
- M. Çetin, Y. Tunçer, M. K. Karacan, Smarandache Curves According to Bishop Frame in Euclidean 3- Space, General Mathematics Notes, 20 (2) 2014 50–66
- Ö. Bekta¸s, S. Yüce, Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematics and Computer Science, 3 (2013) 48–59.
- R. Lopez, Diğerential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, Interna- tional Electronic Journal of Geometry, 7 (1) (2014) 44–107
- K. L. Duggal, A. Bejancu, Lightlike Submanifolds of Semi Riemannian Manifolds and Appli- cations, Kluwer Academic Publishers, Dordrecht, 1996. Current address : Nurten (BAYRAK) GÜRSES :Faculty of Art and Sciences, Department of
- Mathematics, Yıldız Technical University, 34220, ISTANBUL, TURKEY E-mail address : nbayrak@yildiz.edu.tr Current address : Özcan BEKTA¸S: Faculty of Art and Sciences, Department of Mathemat
- ics,Recep Tayyip Erdogan University, 53100, RIZE, TURKEY E-mail address : ozcan.bektas@erdogan.edu.tr Current address : Salim YÜCE: Faculty of Art and Sciences, Department of Mathematics
- Yıldız Technical University, 34220, ISTANBUL, TURKEY E-mail address : sayuce@yildiz.edu.tr
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | August 1, 2016 |
| Published in Issue | Year 2016 Volume: 65 Issue: 2 |
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