Sezgin BUYUKKUTUK, İlim KİSİ, Gunay OZTURK

A characterization of curves according to parallel transport frame in Euclidean n-space E^n

The position vector of a regular curve in Euclidean n-space En can be written as a linear combination of its parallel transport vectors. In the present study, we characterize such curves in terms of their curvature functions. Further, we obtain some results of constant ratio, T-constant and N-constant type curves in En.

Keywords:

Parallel transport frame, position vector,

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