Generalized Bertrand and Mannheim Curves in 3D Lie Groups
Fundamental journal of mathematics and applications (Online), vol.5, no.3, pp.201-209, 2022 (TRDizin)
- Publication Type: Article / Article
- Volume: 5 Issue: 3
- Publication Date: 2022
- Doi Number: 10.33401/fujma.1127839
- Journal Name: Fundamental journal of mathematics and applications (Online)
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.201-209
- Open Archive Collection: AVESIS Open Access Collection
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
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.