EN
Special Smarandache curves in R31
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
Keywords
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
Details
Primary Language
English
Subjects
-
Journal Section
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Publication Date
August 1, 2016
Submission Date
-
Acceptance Date
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Published in Issue
Year 2016 Volume: 65 Number: 2
APA
Bayrak Gürses, N., Bektas, O., & Yuce, S. (2016). Special Smarandache curves in R31. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(2), 143-160. https://doi.org/10.1501/Commua1_0000000766
AMA
1.Bayrak Gürses N, Bektas O, Yuce S. Special Smarandache curves in R31. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):143-160. doi:10.1501/Commua1_0000000766
Chicago
Bayrak Gürses, Nurten, Ozcan Bektas, and Salim Yuce. 2016. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 (2): 143-60. https://doi.org/10.1501/Commua1_0000000766.
EndNote
Bayrak Gürses N, Bektas O, Yuce S (August 1, 2016) Special Smarandache curves in R31. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 2 143–160.
IEEE
[1]N. Bayrak Gürses, O. Bektas, and S. Yuce, “Special Smarandache curves in R31”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 2, pp. 143–160, Aug. 2016, doi: 10.1501/Commua1_0000000766.
ISNAD
Bayrak Gürses, Nurten - Bektas, Ozcan - Yuce, Salim. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (August 1, 2016): 143-160. https://doi.org/10.1501/Commua1_0000000766.
JAMA
1.Bayrak Gürses N, Bektas O, Yuce S. Special Smarandache curves in R31. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:143–160.
MLA
Bayrak Gürses, Nurten, et al. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 2, Aug. 2016, pp. 143-60, doi:10.1501/Commua1_0000000766.
Vancouver
1.Nurten Bayrak Gürses, Ozcan Bektas, Salim Yuce. Special Smarandache curves in R31. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016 Aug. 1;65(2):143-60. doi:10.1501/Commua1_0000000766
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