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  • Küçük Resim
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    On Pseudospherical Smarandache Curves in Minkowski 3-Space
    (Hindawi Ltd, 2014) Öztürk, Esra Betül Koç; Öztürk, Ufuk; İlarslan, Kazım; Nesovic, Emilija
    In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame's vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve alpha, then alpha has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.
  • Küçük Resim
    Öğe
    On Smarandache Curves Lying in Lightcone in Minkowski 3-Space
    (Taylor & Francis Ltd, 2014) Öztürk, Ufuk; Öztürk, Esra Betül Koç; İlarslan, Kazım; 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.