Yazar "Ayyildiz, Nihat" seçeneğine göre listele

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    Some Results on Point-Line Trajectories in Lorentz 3-space
    (INT ELECTRONIC JOURNAL GEOMETRY, 2016) Turhan, Tunahan; Ozdemir, Vildan; Ayyildiz, Nihat
    In this paper, we study curvature theory of point-line trajectories in Lorentz 3-space. We give the characterization by indicatrix, directrix and their relationship in Lorentz 3-space. We use this characterization and relationship to depict a point-line trajectory.
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    A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME
    (KOREAN MATHEMATICAL SOC, 2012) Ayyildiz, Nihat; Turhan, Tunahan
    In this study, we investigate the curvature functions of ruled surface with lightlike ruling for a null curve with Cartan frame in Minkowski 3-space. Also, we give relations between the curvature functions of this ruled surface and curvature functions of central normal surface. Finally, we use the curvature theory of the ruled surface for determine differential properties of a robot end-effector motion.