September 2020 Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve
Süleyman Şenyurt, Burak Öztürk
Tbilisi Math. J. 13(3): 111-131 (September 2020). DOI: 10.32513/tbilisi/1601344902

Abstract

In this study, Smarandache curves are defined according to the Sabban frame by means of the spherical indicatrix curve of the Salkowski curve. Then using these curves we calculated geodesic curvatures. Finally each curve is drawn with maple program.

Funding Statement

This research is supported by Ordu University Scientific Research Projects Coordination Unit (BAP). Project Number: B-1829.

Citation

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Süleyman Şenyurt. Burak Öztürk. "Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve." Tbilisi Math. J. 13 (3) 111 - 131, September 2020. https://doi.org/10.32513/tbilisi/1601344902

Information

Received: 6 August 2019; Accepted: 2 August 2020; Published: September 2020
First available in Project Euclid: 29 September 2020

MathSciNet: MR4154838
Digital Object Identifier: 10.32513/tbilisi/1601344902

Subjects:
Primary: 53A04

Keywords: Sabban frame , Salkowski curve , Smarandache curves

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 3 • September 2020
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