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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 2

Special Smarandache curves in R31

Nurten BAYRAK GÜRSES
Ozcan BEKTAS
Salim YUCE
Sayfa
143–160
Yayın Tarihi
2016-08-01
DOI
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Also, we will give some examples related to results

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri:Then, we present some characterisations of Smarandache curves and calculate Frenet invariants of these curves.
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Sonuç & Katkı:Also, we will give some examples related to results
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Minkowski space · Frenet invariants · Smarandache curves

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

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Bu Makaleye Atıf Yap

GÜRSES, N. B., BEKTAS, O., YUCE, S. (2016). Special Smarandache curves in R31. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 65 - Sayı: 2, 143–160. https://ajindex.com/articles/747313

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Kaynakça (6)

  1. 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.
  2. M. Turgut, S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3 (2008) 51–55.
  3. A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Math- ematical Combinatorics, 2 (2010) 30–36.
  4. 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.
  5. R. Lopez, Diğerential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, Interna- tional Electronic Journal of Geometry, 7 (1) (2014) 44–107
  6. 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: [email protected] Current address: Özcan BEKTA¸S: Faculty of Art and Sciences, Department of Mathemat ics,Recep Tayyip Erdogan University, 53100, RIZE, TURKEY E-mail address: [email protected] Current address: Salim YÜCE: Faculty of Art and Sciences, Department of Mathematics Yıldız Technical University, 34220, ISTANBUL, TURKEY E-mail address: [email protected]