YASIN UNLUTURK
DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, 39100 KIRKLARELI, TURKEY,
[ 1 ] - Contributions to differential geometry of spacelike curves in Lorentzian plane L2
In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane $mathbb{L}^{2}.$ Then the special curves mentioned above are studied in Lorentzian plane $mathbb{L}%^{2}.$ Finally some characterizations of these special curves are given in $mathbb{L}^{2}.$
[ 2 ] - ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³
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 E₁³. 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 E₁³. After defining the spherical indicatrices of the associated curves, we obta...
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