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arXiv · 1106.2012

A Note on Inextensible Flows of Curves on Oriented Surface

Onder Gokmen Yildiz·Soley Ersoy·Melek Masal
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Abstract

In this paper, the general formulation for inextensible flows of curves on oriented surface in $\mathbb{R}^3 $ is investigated. The necessary and sufficient conditions for inextensible curve flow lying an oriented surface are expressed as a partial differential equation involving the geodesic curvature and the geodesic torsion. Moreover, some special cases of inextensible curves on oriented surface are given.

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Onder Gokmen Yildiz, Soley Ersoy, Melek Masal. 2011-06-10. A Note on Inextensible Flows of Curves on Oriented Surface. https://doi.org/10.4067/s0719-06462014000300002

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