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Characterization of Speherical Helices in Euclidean 3-Space Cover

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.

DOI: https://doi.org/10.2478/auom-2014-0035 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
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

© 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.