Title of article :
ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³
Author/Authors :
Unluturk ، Yasin - Kirklareli University , Yilmaz ، Suha - DOKUZ EYLUL UNIVERSITY
Abstract :
The objective of the study in this paper is to define M1;M2- direction curves and M1, M2-donor curves of the spacelike curve γ via the Bishop frame of type-2 in E31 : We obtained the necessary and sufficient conditions when the associated curves to be slant helices and general helices via the Bishop frame of type-2 in E31 . 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.
Keywords :
Minkowski 3 , space , Bishop frame of type , 2 , M1 , M2 , direction curves , M1 , M2 , donor curves , slant helices
Journal title :
journal of mahani mathematical research center
Journal title :
journal of mahani mathematical research center