Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces


  • Bahar Uyar Düldül Yildiz Technical University
  • Mustafa Düldül Yildiz Technical University


extended Darboux frame field, hypersurface, curvatures


In this paper, we consider a Frenet curve lying on a parametric hypersurface in 4-dimensional Euclidean space and obtain the expressions of its curvatures with respect to the hypersurface


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