References
- Altunkaya, B., Kula, L., On spacelike rectifying slant helices in Minkowski 3-space. Turkish J. Math., 42(3) (2018), 10981110.
- Ali, TA., Lopez, R., Slant helices in Minkowski 3-space. J. Korean Math Soc., 48 (2011), 159-167.
- Balgetir, H., Bektaş, M., Ergüt, M., Bertrand curves for non-null curves in 3-dimensional Lorentzian space. Hadronic J., 27(2) (2004), 229-236.
- Balgetir,H., Bektaş, M., Inoguchi, J.,Null Bertrand curves in Minkowski 3-space and their characterizations. Note Mat., 23 (1)(2004/05), 7-13.
- Bertrand, J. M., Mémoire sur la théorie des courbes á double courbure. Comptes Rendus., 36 (1850).
- Camcı, Ç., Uçum, A., İlarslan, K., A New Approach to Bertrand Curves in Euclidean 3-Space. J. Geom., 111:49,(2020).
- Chen,B.Y., When does the position vector of a space curve always lie in its rectifying plane? Am Math Mon., 110 (2003), 147-152.
- Chen, B.Y., Dillen, F., Rectifying curves as centrodes and extremal curves. Bull Ins Math Aca Sinica, 33 (2005),77-90.
- Cheng,Y. M., Lin, C. C., On the generalized bertrand curves in Euclidean -spaces. Note di Matematica, 29 (2) (2009), 33-39.
- Duggal, K. L., Jin, D. H., Null curves and Hypersurfaces of Semi-Riemannian Manifolds. World Scientific Publishing, (2007).
- Ekmekci, N., İlarslan, K., On Bertrand curves and their characterization. Di er. Geom. Dyn. Syst., 3(2) (2001), 17-24.
- Gökcek, F., Altın Erdem, H., On Cartan null Bertrand curves in Minkowski 3-space. Facta Univ. Ser. Math. Inform., 36(5) (2021), 10791088.
- Görgülü, A., Özdamar, E., A generalization of the Bertrand curves as general inclined curves in 𝔼n. Communications of the Faculty of Sciences of the University of Ankara, Series A1: Mathematics and Statistics, 35 (12) (1986), pp. 53-60
- Huang, J., Chen, L., Izumiya, S., Pei, D., Geometry of special curves and surfaces in 3-space form. J. Geom. Phys., 136 (2019), 3138.
- Inoguchi, J., Lee, S., Null curves in Minkowski 3-space. Int. Electron. J. Geom., 1(2) (2008), 40-83.
- İlarslan, K., Klç Aslan, N., On generalized null Mannheim curves in 𝔼24. Math. Methods Appl. Sci. 44 (9) (2021), 75887600.
- Izumiya, S., Takeuchi, N., New special curves and developable surfaces. Turk J Math. 28(2004), 153-163.
- Jin,D. H., Null Bertrand curves in a Lorentz manifold. J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 15(3) (2008), 209-215.
- Kuhnel,W., Di erential geometry: curves-surfaces-manifolds. Braun-schweig, Wiesbaden, (1999).
- Liu, H., Curves in Three Dimensional Riemannian Space Forms. Results. Math., 66 (2014), 469480.
- Lopez, R., Di erential geometry of curves and surfaces in Lorentz-Minkowski space. Int. Electron. J. Geom., 7(1) 2014, 44-107.
- Lucas, P., Ortega-Yagues, J. A., Bertrand curves in the three-dimensional sphere. Journal of Geometry and Physics , 62(9) 2012, 1903-1914.
- Lucas, P., Ortega-Yagues, J. A., Bertrand curves in non-flat three-dimensional(Riemannian or Lorentzian) space forms. Bull. Korean Math. Soc. 50(2013), 11091126.
- Matsuda, H., Yorozu, S., Notes on Bertrand curves. Yokohama Math. J., 50 (1-2) (2003), 41-58.
- O’Neill, B., Semi-Riemannian geometry with applications to relativity. Academic Press, New York, (1983).
- Öztekin, H.B., Weakened Bertrand curves in the Galilean space G3. Journal of Advanced Mathematical Studies, 2 (2) (2009), 6976.
- Öğrenmi ş, A. O., Öztekin, H., Ergüt, M., Bertrand curves in Galilean space and their characterizations. Kragujevac J. Math., 32(2009), 139-147.
- Pears, L. R., Bertrand curves in Riemannian space. J. London Math. Soc., 1-10(2) (1935), 180-183.
- Ravani,B., Ku, T.S., Bertrand o sets of ruled and developable surfaces. Computer-Aided Design, 23(2) (1991), 145-152.
- Uçum, A., Keçilioğlu, O., İlarslan, K., Generalized Pseudo Null Bertrand curves in Semi-Euclidean 4-Space with index 2. Rend. Circ. Mat. Palermo, II. Ser., 65(2016), 459472.
- Uçum, A., Keçilioğlu, O., İlarslan, K., Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time. Kuwait J. Sci., 42 (3)(2015), 10-27.
- Uçum, A., İlarslan, K., On timelike Bertrand curves in Minkowski 3-space. Honam Mathematical J., 38(3) (2016), 467-477.
- Uçum, A., İlarslan, K., Sakaki, M., Generalized Cartan Null Bertrand curves in semi-Euclidean 4-Space with index 2. J. Geom. 107 (2016), 579591.
- Saint Venant, B., Mémoire sur les lignes courbes non planes. Journal de l’Ecole Polytechnique, 18(1845),1-76.
- Schief, W. K., On the integrability of Bertrand curves and Razzaboni surfaces. J. Geom. Phys., 45(1-2) (2003), 130150.
- Xu, C., Cao, X., Zhu, P., Bertrand curves and Razzaboni surfaces in Minkowski 3-space. Bull. Korean Math. Soc. 52(2) (2015), 377394.