BibTex RIS Kaynak Göster

Special Smarandache curves in R31

Yıl 2016, Cilt: 65 Sayı: 2, 143 - 160, 01.08.2016

Nurten Bayrak Gürses Ozcan Bektas Salim Yuce

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

Öz

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

Anahtar Kelimeler

Minkowski space Frenet invariants Smarandache curves

Kaynakça

  • 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

Yıl 2016, Cilt: 65 Sayı: 2, 143 - 160, 01.08.2016

Nurten Bayrak Gürses Ozcan Bektas Salim Yuce

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

Öz

Kaynakça

  • 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
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Nurten Bayrak Gürses

Ozcan Bektas Bu kişi benim

Salim Yuce Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 65 Sayı: 2

Kaynak Göster

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. Ağustos 2016;65(2):143-160. doi:10.1501/Commua1_0000000766
Chicago Bayrak Gürses, Nurten, Ozcan Bektas, ve Salim Yuce. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, sy. 2 (Ağustos 2016): 143-60. https://doi.org/10.1501/Commua1_0000000766.
EndNote Bayrak Gürses N, Bektas O, Yuce S (01 Ağustos 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, ve S. Yuce, “Special Smarandache curves in R31”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 65, sy. 2, ss. 143–160, 2016, doi: 10.1501/Commua1_0000000766.
ISNAD Bayrak Gürses, Nurten vd. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (Ağustos 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 vd. “Special Smarandache Curves in R31”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 65, sy. 2, 2016, ss. 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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