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Volume :39 Issue : 1 2012
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On the Method of Determination of a Developable Timelike Ruled Surface
Auther : CUMALİ EKİCİ* AND ERDAL ÖZÜSAĞLAM**
*Eskişehir Osmangazi University, Department of Mathematics and Computer Science, 26480, Eskişehir-Turkey. e-mail: cekici@ogu.edu.tr
**Aksaray University, Faculty of Art and Science, Department of Mathematics, 68100, Aksaray- Turkey. e-mail: materdalo@gmail.com
ABSTRACT
A method of determination of a developable ruled surface is given by Köse. In this paper, first we have obtained the parametric equations of dual hyperbolic and Lorentzian unit spheres (DHUS)and (DLUS) and then presented a method of determination of a developable time-like ruled surface. We have given an application about two-component Wadati-Konno-Ichikawa (WKI) equation. Inextensible flows of developable surfaces are given. In the final part of this paper, we have discussed inextensible flows of a developable time-like ruled surface.
Keywords: Developable time-like ruled surface; Dual hyperbolic and Lorentzian unit spheres; Linear differential equation.