@article{article_1127839, title={Generalized Bertrand and Mannheim Curves in 3D Lie Groups}, journal={Fundamental Journal of Mathematics and Applications}, volume={5}, pages={201–209}, year={2022}, DOI={10.33401/fujma.1127839}, author={Okuyucu, Osman Zeki and Doğan Yazıcı, Bahar}, keywords={Generalized Bertrand curves, Generalized Mannheim curves, Helix, Lie groups, Slant helix}, 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.}, number={3}, publisher={Fuat USTA}