Cite

Altunkaya, B., Kula, L., On spacelike rectifying slant helices in Minkowski 3-space. Turkish J. Math., 42(3) (2018), 10981110.Search in Google Scholar

Ali, TA., Lopez, R., Slant helices in Minkowski 3-space. J. Korean Math Soc., 48 (2011), 159-167.Search in Google Scholar

Balgetir, H., Bektaş, M., Ergüt, M., Bertrand curves for non-null curves in 3-dimensional Lorentzian space. Hadronic J., 27(2) (2004), 229-236.Search in Google Scholar

Balgetir,H., Bektaş, M., Inoguchi, J.,Null Bertrand curves in Minkowski 3-space and their characterizations. Note Mat., 23 (1)(2004/05), 7-13.Search in Google Scholar

Bertrand, J. M., Mémoire sur la théorie des courbes á double courbure. Comptes Rendus., 36 (1850).Search in Google Scholar

Camcı, Ç., Uçum, A., İlarslan, K., A New Approach to Bertrand Curves in Euclidean 3-Space. J. Geom., 111:49,(2020).Search in Google Scholar

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.Search in Google Scholar

Chen, B.Y., Dillen, F., Rectifying curves as centrodes and extremal curves. Bull Ins Math Aca Sinica, 33 (2005),77-90.Search in Google Scholar

Cheng,Y. M., Lin, C. C., On the generalized bertrand curves in Euclidean -spaces. Note di Matematica, 29 (2) (2009), 33-39.Search in Google Scholar

Duggal, K. L., Jin, D. H., Null curves and Hypersurfaces of Semi-Riemannian Manifolds. World Scientific Publishing, (2007).Search in Google Scholar

Ekmekci, N., İlarslan, K., On Bertrand curves and their characterization. Di er. Geom. Dyn. Syst., 3(2) (2001), 17-24.Search in Google Scholar

Gökcek, F., Altın Erdem, H., On Cartan null Bertrand curves in Minkowski 3-space. Facta Univ. Ser. Math. Inform., 36(5) (2021), 10791088.Search in Google Scholar

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. 53-60Search in Google Scholar

Huang, J., Chen, L., Izumiya, S., Pei, D., Geometry of special curves and surfaces in 3-space form. J. Geom. Phys., 136 (2019), 3138.Search in Google Scholar

Inoguchi, J., Lee, S., Null curves in Minkowski 3-space. Int. Electron. J. Geom., 1(2) (2008), 40-83.Search in Google Scholar

İlarslan, K., Klç Aslan, N., On generalized null Mannheim curves in 𝔼24. Math. Methods Appl. Sci. 44 (9) (2021), 75887600.Search in Google Scholar

Izumiya, S., Takeuchi, N., New special curves and developable surfaces. Turk J Math. 28(2004), 153-163.Search in Google Scholar

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.Search in Google Scholar

Kuhnel,W., Di erential geometry: curves-surfaces-manifolds. Braun-schweig, Wiesbaden, (1999).Search in Google Scholar

Liu, H., Curves in Three Dimensional Riemannian Space Forms. Results. Math., 66 (2014), 469480.Search in Google Scholar

Lopez, R., Di erential geometry of curves and surfaces in Lorentz-Minkowski space. Int. Electron. J. Geom., 7(1) 2014, 44-107.Search in Google Scholar

Lucas, P., Ortega-Yagues, J. A., Bertrand curves in the three-dimensional sphere. Journal of Geometry and Physics , 62(9) 2012, 1903-1914.Search in Google Scholar

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.Search in Google Scholar

Matsuda, H., Yorozu, S., Notes on Bertrand curves. Yokohama Math. J., 50 (1-2) (2003), 41-58.Search in Google Scholar

O’Neill, B., Semi-Riemannian geometry with applications to relativity. Academic Press, New York, (1983).Search in Google Scholar

Öztekin, H.B., Weakened Bertrand curves in the Galilean space G3. Journal of Advanced Mathematical Studies, 2 (2) (2009), 6976.Search in Google Scholar

Öğrenmi ş, A. O., Öztekin, H., Ergüt, M., Bertrand curves in Galilean space and their characterizations. Kragujevac J. Math., 32(2009), 139-147.Search in Google Scholar

Pears, L. R., Bertrand curves in Riemannian space. J. London Math. Soc., 1-10(2) (1935), 180-183.Search in Google Scholar

Ravani,B., Ku, T.S., Bertrand o sets of ruled and developable surfaces. Computer-Aided Design, 23(2) (1991), 145-152.Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

Uçum, A., İlarslan, K., On timelike Bertrand curves in Minkowski 3-space. Honam Mathematical J., 38(3) (2016), 467-477.Search in Google Scholar

Uçum, A., İlarslan, K., Sakaki, M., Generalized Cartan Null Bertrand curves in semi-Euclidean 4-Space with index 2. J. Geom. 107 (2016), 579591.Search in Google Scholar

Saint Venant, B., Mémoire sur les lignes courbes non planes. Journal de l’Ecole Polytechnique, 18(1845),1-76.Search in Google Scholar

Schief, W. K., On the integrability of Bertrand curves and Razzaboni surfaces. J. Geom. Phys., 45(1-2) (2003), 130150.Search in Google Scholar

Xu, C., Cao, X., Zhu, P., Bertrand curves and Razzaboni surfaces in Minkowski 3-space. Bull. Korean Math. Soc. 52(2) (2015), 377394.Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics