Some Characterizations of Curves in n-dimensional Euclidean Space

Year 2020, Volume: 10 Issue: 2, 1273 - 1285, 01.06.2020

Sezgin Büyükkütük İlim Kişi Günay Öztürk Kadri Arslan

https://doi.org/10.21597/jist.631448

Cited By: 1

Abstract

In this work, we deal with a curve whose position vector can be expressed with the help  of Frenet Frame in  n dimensional Euclidean space n IE . We classify this type of curve with regards to curvature functions and get certain consequences for T constant,  N constant and constant ratio curves in n IE .

Keywords

Constant ratio curves, position vector, W curves

Some Characterizations of Curves in n-dimensional Euclidean Space

Abstract

In this work, we deal with a curve whose position vector can be expressed with the help of Frenet Frame in  n dimensional Euclidean space n IE . We classify this type of curve with regards to curvature functions and get certain consequences for T constant,  N constant and constant ratio curves in n IE .

Keywords

Constant ratio curves, W-curves, position vector

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