Simultaneous characterizations of partner ruled surfaces using Flc frame

被引：30

作者：

Li, Yanlin ^{[1
]}

Eren, Kemal ^{[2
]}

Ayvaci, Kebire Hilal ^{[3
]}

Ersoy, Soley ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China

[2] Sakarya Univ, Fac Arts & Sci, Dept Math, TR-54050 Sakarya, Turkey

[3] Ordu Univ, Fac Arts & Sci, Dept Math, Ordu, Turkey

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Flc frame; partner ruled surface; geodesic curve; asymptotic curve; polynomial curves;

D O I：

10.3934/math.20221106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：20213 / 20229

页数：17

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