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Research Article | Open Access

Simultaneous characterizations of partner ruled surfaces using Flc frame

Yanlin Li1( ), Kemal Eren2, Kebire Hilal Ayvacı3, Soley Ersoy2
School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya 54050, Turkey
Department of Mathematics, Faculty of Arts and Sciences, Ordu University, Ordu, Turkey
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Abstract

In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn.

Keywords

Flc framepartner ruled surfacegeodesic curveasymptotic curvepolynomial curves
CLC number: 53A04, 53A05

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 20213-20229
DOI: 10.3934/math.20221106

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Cite this article:
Li Y, Eren K, Ayvacı KH, et al. Simultaneous characterizations of partner ruled surfaces using Flc frame. AIMS Mathematics, 2022, 7(11): 20213-20229. https://doi.org/10.3934/math.20221106

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Received: 19 July 2022
Revised: 29 August 2022
Accepted: 01 September 2022
Published: 15 November 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)