ON SPECIAL SINGULAR CURVE COUPLES OF FRAMED CURVES IN 3D LIE GROUPS

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Atıf İçin Kopyala

Doğan Yazıcı B., Okuyucu O. Z., Tosun M.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.72, sa.3, ss.710-720, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 3
• Basım Tarihi: 2023
• Doi Numarası: 10.31801/cfsuasmas.1197154
• Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.710-720
• Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we introduce Bertrand and Mannheim curves of framed curves, which are a special singular curve in 3D Lie groups. We explain the conditions for framed curves to be Bertrand curves and Mannheim curves in 3D Lie groups. We give relationships between framed curvatures and Lie curvatures of Bertrand and Mannheim curves of framed curves. In addition, we obtain the characterization of Bertrand and Mannheim curves according to the various frames of framed curves in 3D Lie groups.