Characterization of Speherical Helices in Euclidean 3-Space
By: Nejat Ekmekci, O. Zeki Okuyucu and Yusuf Yayli
Abstract
In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves. Also, we give some differential equations which are characterizations for (t), (n) and (b) to be general helix. Morever we give a characterization for tangent indicatrix (t) to be a circle.
Language: English
Page range: 99 - 108
Submitted on: Nov 1, 2012
Accepted on: Mar 1, 2013
Published on: Oct 20, 2015
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2015 Nejat Ekmekci, O. Zeki Okuyucu, Yusuf Yayli, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.