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Some characterizations of generalized null Mannheim curves in semi-Euclidean space. (English) Zbl 1448.53013

Summary: 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.

MSC:

53A35 Non-Euclidean differential geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B25 Local submanifolds
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