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

Abstract

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

Kaynakça

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