Some new types of associated curves in Euclidean 3-space

[1] Choi J and Kim Y, Associated curves of a frenet curve and their applications. Appl. Math. Comput., 2018, 9116-9124 (2012).10.1016/j.amc.2012.02.064Search in Google Scholar

[2] Choi J., and Kim Y.H.: Some associated curves of Frenet non-lightlike curves in E3 1 . J. Math. Anal. Appl. 394, 712-723 (2012).10.1016/j.jmaa.2012.04.063Search in Google Scholar

[3] Gok I, Okuyucu O Z, Yayli Y and Ekmekci N, On Mannheim partner curves in three dimensional Lie groups. Miskolc Math. Notes, 15(2), 467-479. (2014).10.18514/MMN.2014.682Search in Google Scholar

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

[5] Kiziltug S. and Onder M.: Associated curves of Frenet curves in three dimensional compact Lie group, Miskolc Math. Notes, 16, 953-964 (2015).10.18514/MMN.2015.1324Search in Google Scholar

[6] Kula L and Yayli Y, On Slant Helix and Its Spherical Indicatrix. Appl. Math. Comput., 169, 600-607 (2005).10.1016/j.amc.2004.09.078Search in Google Scholar

[7] Lancret M A, Mémoire sur les courbes à double courbure, Mémoires présentés à l'Institut 1, 416-454 (1806).Search in Google Scholar

[8] Macit N and Duldul M, Some new associated curves of a Frenet curve in E3 and E4, Turk. J. Math., 38, 1023-1037 (2014).10.3906/mat-1401-85Search in Google Scholar

[9] Okuyucu O Z, Gok I, Yayli Y and Ekmekci F N, Slant helices in three dimensional Lie groups. Appl. Math. Comput., 221, 672-683 (2013).10.1016/j.amc.2013.07.008Search in Google Scholar

[10] Okuyucu O Z, Gok I, Yayli Y and Ekmekci N, Bertrand curves in three dimensional Lie groups. Miskolc Math. Notes, 17(2), 999-1010 (2016).10.18514/MMN.2017.1314Search in Google Scholar

[11] Qian J. and Kim Y.H.: Directional associated curves of a null curve in Minkowski 3-space, Bull. Korean Math. Soc., 52, 183-200 (2015).10.4134/BKMS.2015.52.1.183Search in Google Scholar

[12] Struik D., Lectures on Classical Diérential Geometry, 2nd ed. Dover: Addison Wesley, 1950.Search in Google Scholar

[13] Uzunoglu B, Gok I and Yayli Y, A new approach on curves of constant precession. Appl. Math. Comput., 275, 317-323 (2016).10.1016/j.amc.2015.11.083Search in Google Scholar

[14] Scoéld P D, Curves of Constant Precession, Amer. Math. Mon., 102(6), 531-537 (1995).10.1080/00029890.1995.12004613Search in Google Scholar

[15] Ozdamar E and Hacisalihoglu H H, A characterization of inclined curves in Euclidean n-space, Communications de la Faculté des Sciences de l'Université d'Ankara, 24, 15-22 (1975).Search in Google Scholar