TY - JOUR T1 - Alternative partner curves in the Euclidean 3-space AU - Yılmaz, Beyhan AU - Has, Aykut PY - 2020 DA - June Y2 - 2020 DO - 10.31801/cfsuasmas.538177 JF - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JO - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. PB - Ankara University WT - DergiPark SN - 1303-5991 SP - 900 EP - 909 VL - 69 IS - 1 LA - en AB - In the present paper, a new type of special curve couple which are called WC^{∗}-partner curves are introduced according to alternative moving frame {N,C,W}. The distance function between the corresponding points of reference curve and its partner curve is obtained. Besides, the angle function between the vector fields of alternative frame of the curves is expressed by means of alternative curvatures f and g. In addition to these, various characterizations are obtained related to these curves. KW - Slant Helix KW - alternative frame KW - curve pairs CR - Babaarslan, M. and Yayli, Y., On helices and Bertrand curves in Euclidean 3-space, Mathematical and Computational Applications, 18(1)(2013) 1-11. CR - Cheng, Y.M. and Lin, C.C., On the generalized Bertrand curves in Euclidean N-spaces, Note di Matematica, 29(2)(2009) 33-39. CR - Izumiya, S. and Takeuchi, N., Generic properties of helices and Bertrand curves, J. Geom. 74 (2002), 97-109. CR - Izumiya, S. and Takeuchi, N., New special curves and developable surfaces, Turk J Math. 28 (2004), 153-163. CR - Liu, H. and Wang, F., Mannheim partner curves in 3-space, J. Geom. 88 (2008), 120-126. CR - Matsuda, H. and Yorozu, S., Notes on Bertrand curves, Yokohama Mathematical Journal, 50(2003) 41-58. CR - Struik, D.J., Lectures on Classical Di¤erential Geometry, Dover Publications, 1988. CR - Uzunoğlu, B., Gök, ·I. and Yayli, Y., A new approach on curves of constant precession, Appl. Math. Comput. 275 (2016), 317-323. CR - Wang, F. and Liu, H., Mannheim partner curves in 3-Euclidean space, Math.Pract. Theory. 37 (2007), 141-143. CR - Whittemore, J.K., Bertrand curves and helices, Duke Math. J. 6 (1940), 235-245. CR - Zhao, W., Pei, D. and Cao, X., Mannheim curves in nonflat 3-Dimensional Space Forms, Adv. Math. Phys. 2015 (2015), 1-9. UR - https://doi.org/10.31801/cfsuasmas.538177 L1 - https://dergipark.org.tr/en/download/article-file/1083915 ER -