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

Year 2017, Volume: 5 Issue: 2, 61 - 68, 30.03.2017

Sezgin Buyukkutuk , İlim Kisi Gunay Ozturk

https://izlik.org/JA96CZ54YY

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

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