Generalized Bertrand and Mannheim Curves in 3D Lie Groups
Fundamental journal of mathematics and applications (Online), cilt.5, sa.3, ss.201-209, 2022 (TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.