Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 8 - Sayı: 2

T*B* and N*B*-Smarandache Curves of Involute-Evolute Curves in Minkowski 3-space

3-Boyutlu Minkowski Uzayında İnvolüt-Evolüt Eğrilerinin T*B* ve N*B*-Smarandache Eğrileri

Pages
472–483
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Finally, we give two illustrative examples related to our results.

📌 3 Key Takeaways

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Objective & Hypothesis:Let the spacelike curve *  be the involute of the 𝛼 timelike curve.
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Key Findings & Data:In this study, when the Frenet vectors of the involute curve 𝛼 ∗ are taken as the position vectors, the curvature and the torsion of non-null * * T B and * * N B - Smarandache curve are calculated depending upon the timelike evolute curve 𝛼.
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Conclusion & Impact:Finally, we give two illustrative examples related to our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let the spacelike curve *  be the involute of the 𝛼 timelike curve. In this study, when the Frenet vectors of the involute curve 𝛼 ∗ are taken as the position vectors, the curvature and the torsion of non-null * * T B and * * N B - Smarandache curve are calculated depending upon the timelike evolute curve 𝛼. Finally, we give two illustrative examples related to our results.

Özet

spacelike eğrisi, timelike eğrisinin bir involütü olsun. Bu çalışmada,*eğrisinin Frenet vektörleri konumvektörleri olarak alındığında null olmayan* * T Bve* * N B -Smarandache eğrilerinin eğrilik ve torsiyonlarıtimelike evolüt eğrisine bağlı olarak hesaplanmıştır. Son olarak, elde edilen sonuçlar ile ilgili örnekler verilmiştir.

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Cite This Article

KALKAN, Ö. B., ZEYBEK, D. (2022). T*B* and N*B*-Smarandache Curves of Involute-Evolute Curves in Minkowski 3-space. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 - Sayı: 2, 472–483. https://ajindex.com/articles/466989

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