On the Smarandache Curves of Spatial Quaternionic Involute Curve

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Atıf İçin Kopyala

Şenyurt S., Cevahir C., Altun Y.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, cilt.90, sa.5, ss.827-837, 2020 (SCI-Expanded)

• Yayın Türü: Makale / Derleme
• Cilt numarası: 90 Sayı: 5
• Basım Tarihi: 2020
• Doi Numarası: 10.1007/s40010-019-00640-5
• Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
• Sayfa Sayıları: ss.827-837
• Anahtar Kelimeler: Involute curve, Quaternionic curves, Quaternionic Smarandache curves
• İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this study, the spatial quaternionic curve and the relationship between Frenet frames of involute curve of spatial quaternionic curve are expressed by using the angle between the Darboux vector and binormal vector of the basic curve.Secondly, the Frenet vectors of involute curve are taken as position vector and curvature and torsion of obtained Smarandache curves are calculated. The calculated curvatures and torsions are given depending on Frenet apparatus of basic curve. Finally, an example is given and the shapes of these curves are drawn by using Mapple program.