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    On generalized null Mannheim curves in E24
    (WILEY, 2021) İlarslan, Kazım; Aslan, Nihal Kılıç
    In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24. We obtain the Cartan (or Frenet) frames and curvature functions of the generalized Mannheim mate curve by the help of curvature functions and Cartan frames of the generalized null Mannheim curve. We proved that there are no generalized null Mannheim curves with timelike principal normal N in E24. The related examples and their projected images are also given.
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    Öğe
    Some Characterizations Of Generalized Null Mannheim Curves In Semi-Euclidean Space
    (INST BIOPHYSICS & BIOMEDICAL ENGINEERING, BULGARIAN ACAD SCIENCES, 2020) Aslan, Nihal Kılıç; İlarslan, Kazım
    In the present paper, we investigate Cartan framed generalized null Mannheim curves in the four-dimensional semi-Euclidean space of index two. We construct the Cartan (or Frenet) frames and curvature functions of generalized Mannheim mate curve with the help of curvatures and Cartan frames of generalized null Mannheim curve.