ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E 3 1 YASIN ¨ UNL ¨ UT ¨ URK *1 ,S ¨ UHA YILMAZ 2 1 DEPARTMENT OF MATHEMATICS KIRKLARELI UNIVERSITY, 39100, KIRKLARELI-TURKEY 2 DEPARTMENT OF PRIMARY MATHEMATICS EDUCATION BUCA FACULTY OF EDUCATION DOKUZ EYL ¨ UL UNIVERSITY 35160 BUCA, IZMIR, TURKEY E-MAILS: YASINUNLUTURK@KLU.EDU.TR, SUHA.YILMAZ@DEU.EDU.TR (Received: 2 October 2018, Accepted: 7 March 2019) Abstract. The objective of the study in this paper is to define M 1 ,M 2 - direction curves and M 1 ,M 2 -donor curves of the spacelike curve γ via the Bishop frame of type-2 in E 3 1 . We obtained the necessary and sufficient con- ditions when the associated curves to be slant helices and general helices via the Bishop frame of type-2 in E 3 1 . After defining the spherical indicatrices of the associated curves, we obtain some relations between associated curves and their spherical indicatrices in terms of the frames used in the present work. AMS Classification: 53A04,53B30,53B50. Keywords: Minkowski 3-space, Bishop frame of type-2, M 1 ,M 2 -direction curves, M 1 ,M 2 -donor curves, slant helices. 1. Introduction There are lots of interesting and important problems in the theory of curves in differential geometry. One of the interesting problems is the problem of character- ization of a regular curve in the theory of curves in the Euclidean, Minkowski and different ambient spaces, see, [1], [2], [5], [7], and [8]. Also there are special curves * CORRESPONDING AUTHOR JOURNAL OF MAHANI MATHEMATICAL RESEARCH CENTER VOL. 8, NUMBERS 1-2 (2019) 1-12. DOI: 10.22103/JMMRC.2019.12814.1071 c MAHANI MATHEMATICAL RESEARCH CENTER 1