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Journals / 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
Pages
143–160
Publication Date
2016-08-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we will give some examples related to results

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data:Then, we present some characterisations of Smarandache curves and calculate Frenet invariants of these curves.
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Conclusion & Impact:Also, we will give some examples related to results
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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/747312

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References (6)

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  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]