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Special Smarandache curves in R31

Year 2016, Volume: 65 Issue: 2, 143 - 160, 01.08.2016

Nurten Bayrak Gürses Ozcan Bektas Salim Yuce

https://doi.org/10.1501/Commua1_0000000766
Cited By: 8

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

Minkowski space Frenet invariants Smarandache curves

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

Year 2016, Volume: 65 Issue: 2, 143 - 160, 01.08.2016

Nurten Bayrak Gürses Ozcan Bektas Salim Yuce

https://doi.org/10.1501/Commua1_0000000766
Cited By: 8

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

Nurten Bayrak Gürses

Ozcan Bektas This is me

Salim Yuce This is me

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 65 Issue: 2

Cite

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 Bayrak Gürses N, Bektas O, Yuce S. Special Smarandache curves in R31. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2016;65(2):143-160. doi:10.1501/Commua1_0000000766
Chicago Bayrak Gürses, Nurten, Ozcan Bektas, and Salim Yuce. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, no. 2 (August 2016): 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 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, 2016, doi: 10.1501/Commua1_0000000766.
ISNAD Bayrak Gürses, Nurten et al. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (August 2016), 143-160. https://doi.org/10.1501/Commua1_0000000766.
JAMA 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, 2016, pp. 143-60, doi:10.1501/Commua1_0000000766.
Vancouver Bayrak Gürses N, Bektas O, Yuce S. Special Smarandache curves in R31. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):143-60.

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