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Time Evolution Equations for Surfaces Generated via Binormal Spherical Image in Terms of Inextensible Flows in
Essin Turhanessin.turhan@gmail.comDepartment of MathematicsMuş Alparslan University. s:View full profile →
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- Received:
- 22 Sep 2014
- Accepted:
- 13 Oct 2014
- Published Online:
- 03 Dec 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.979711
- Pages:
- 145–157
Abstract
In this work, we study time-evolution equations that the intrinsic quantities of curves to construct binormal spherical curves as surfaces in terms of inextensible flows in . Using the Frenet frame of the given curve, we present partial differential equations. We give necessary and sufficient condition for a binormal spherical curves as surfaces to be a Bonnet surface. Finally, we draw some pictures of our main results.
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