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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space

Kazım İLARSLAN
Mehmet YILDIRIM
Sayfa
555–565
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we investigate the same problem for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$ by using the well known algorithm given by Chao and Gao, and obtain new results for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Bertrand curves were first studied using a computer by W. -T.
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Temel Bulgular & Veri:Curve pairs of Bertrand type, Kexue Tongbao 32, 585–588, 1987).
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Sonuç & Katkı:In this paper, we investigate the same problem for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$ by using the well known algorithm given by Chao and Gao, and obtain new results for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Bertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585–588, 1987). The same problem was studied using an improved version of Ritt-Wu’s decompo- sition algorithm by S. -C. Chao and X. -S. Gao (Automated reasoning in differential geometry and mechanics: Part 4: Bertrand curves, System Sciences and Mathematical Sciences 6 (2), 186–192, 1993). In this paper, we investigate the same problem for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$ by using the well known algorithm given by Chao and Gao, and obtain new results for null Bertrand type curves in Minkowski 3-space $Bbb{E}^3_1$

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Bu Makaleye Atıf Yap

İLARSLAN, K., YILDIRIM, M. (2022). An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 555–565. https://ajindex.com/articles/530642

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Kaynakça (17)

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