A Characterization of Constant-Ratio Curves in Euclidean 3-Space E^3
Differential Geometry
2014-10-22 v1
Abstract
A twisted curve in Euclidean 3-space E^3 can be considered as a curve whose position vector can be written as linear combination of its Frenet vectors. In the present study we study the twisted curves of constant ratio in E^3 and characterize such curves in terms of their curvature functions. Further, we obtain some results of T-constant and N-constant type twisted curves in E^3. Finally, we give some examples of equiangular spirals which are constant ratio curves.
Keywords
Cite
@article{arxiv.1410.5577,
title = {A Characterization of Constant-Ratio Curves in Euclidean 3-Space E^3},
author = {Selin Gurpinar and Kadri Arslan and Gunay Ozturk},
journal= {arXiv preprint arXiv:1410.5577},
year = {2014}
}