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2016 Generated Surfaces via Inextensible Flows of Curves in R3
Rawya A. Hussien, Samah G. Mohamed
J. Appl. Math. 2016: 1-8 (2016). DOI: 10.1155/2016/6178961

Abstract

We study the inextensible flows of curves in 3-dimensional Euclidean space R3. The main purpose of this paper is constructing and plotting the surfaces that are generated from the motion of inextensible curves in R3. Also, we study some geometric properties of those surfaces. We give some examples about the inextensible flows of curves in R3 and we determine the curves from their intrinsic equations (curvature and torsion). Finally, we determine and plot the surfaces that are generated by the motion of those curves by using Mathematica 7.

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Rawya A. Hussien. Samah G. Mohamed. "Generated Surfaces via Inextensible Flows of Curves in R3." J. Appl. Math. 2016 1 - 8, 2016. https://doi.org/10.1155/2016/6178961

Information

Received: 18 February 2016; Accepted: 9 May 2016; Published: 2016
First available in Project Euclid: 13 August 2016

MathSciNet: MR3513635
Digital Object Identifier: 10.1155/2016/6178961

Rights: Copyright © 2016 Hindawi

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