Browsing by Author "Balki Okullu P."
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Item Differential representation of the Lorentzian spherical timelike curves by using bishop frame(Serbian Society of Heat Transfer Engineers, 2019) Balki Okullu P.; Kocayigit H.In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere. © 2019 Society of Thermal Engineers of Serbia.Item An explicit characterization of spherical curves according to Bishop frame and an approximately solution(Serbian Society of Heat Transfer Engineers, 2019) Balki Okullu P.; Kocayigit H.; Agirman Aydin T.In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method. © 2019 Society of Thermal Engineers of Serbia.