Yazar "Ozturk, Ufuk" seçeneğine göre listele

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    DUAL QUATERNION FRAMES
    (Ankara Univ, Fac Sci, 2010) Ozturk, Ufuk; Hacisalihoglu, H. H.; Yayli, Yusuf; Ozturk, E. Betul Koc
    Serret-Frenet and Parallel-Transport frame are produced with the help of reel quaternions again by Andrew J. Hanson [7]. In this study, calculations mentioned above are applied for dual quaternion and Serret-Frenet and Parallel-Transport frame are obtained by the aid of dual quarternions.
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    A Note On Lamarle Formula Inminkowski 3-Space
    (Tamkang Univ, 2018) Ozturk, Ufuk; Ilarslan, Kazim; Ozturk, Esra Betul Koc; Nesovic, Emilija
    The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled surface with pseudo null base curve and null director vector field inMinkowski 3-space. We also obtain the corresponding striction line and distribution parameter of such surface. We prove that there is no Lamarle formula when the director vector field is spacelike and its derivative is null, because the ruled surface in that case is a lightlike plane. Finally, we give some examples.
  • Küçük Resim
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    On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space
    (Int Electronic Journal Geometry, 2016) Nesovic, Emilija; Ozturk, Ufuk; Ozturk, Esra B. Koc; Ilarslan, Kazim
    In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In particular, we give some examples of lightlike developable surfaces with pseudo null base curve. As an application, we show that pseudo null curve and it's frame vectors generate new solutions of the Da Rios vortex filament equation.
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    Öğe
    ON SMARANDACHE CURVES LYING IN LIGHTCONE IN MINKOWSKI 3-SPACE
    (Taylor & Francis Ltd, 2014) Ozturk, Ufuk; Ozturk, Esra Betul Koc; Ilarslan, Kazim; Nesovic, Emilija
    In this paper we define the spacelike and the null lightcone Smarandache curves of a spacelike lightcone curve a according to the lightcone Frenet frame of a a in Minkowski 3-space. We obtain the lightcone curvature and the expressions for the lightcone Frenet frame's vectors of a spacelike Smarandache curve of a. We prove that if the null straight line is the lightcone Smarandache curve of a, then a has non-zero constant lightcone curvature. Finally, we give some examples of lightcone Smarandache curves.
  • Küçük Resim
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    On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space
    (Hindawi Publishing Corporation, 2013) Ozturk, Ufuk; Ozturk, Esra Betul Koc; Ilarslan, Kazim
    We have generalized the involute and evolute curves of the pseudonull curves alpha in E-1(3); that is, alpha is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the pseudonull curves alpha in E-1(3). Secondly, we have found relationships between the evolute curve beta and the pseudonull curve alpha in E-1(3). Finally, some examples concerning these relations are given.