Generalized Bertrand and Mannheim Curves in 3D Lie Groups

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Atıf İçin Kopyala

Okuyucu O. Z., Doğan Yazıcı B.

Fundamental journal of mathematics and applications (Online), cilt.5, sa.3, ss.201-209, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 5 Sayı: 3
• Basım Tarihi: 2022
• Doi Numarası: 10.33401/fujma.1127839
• Dergi Adı: Fundamental journal of mathematics and applications (Online)
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.201-209
• Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we give a new approach for Bertrand and Mannheim curves in $3D$ Lie groups with bi-invariant metrics. In this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in $3D$ Euclidean space and in $3D$ Lie groups.