On geometry of focal surfaces due to B-Darboux and type-2 Bishop frames in Euclidean 3-space

被引：2

作者：

AL-Dayel, Ibrahim ^{[1
]}

Solouma, Emad ^{[1
,2
]}

Khan, Meraj ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Beni Suef Univ, Fac Sci, Dept Math & Informat, Bani Suwayf, Egypt

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 07期

关键词：

Euclidean geometry; focal surface; type-2 Bishop frame; tubular surface; B-Darboux frame; CURVES;

D O I：

10.3934/math.2022744

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In Euclidean 3-space E-3, a canonical subject is the focal surface of such a cliched space curve, which would be a two-dimensional corrosive with Lagrangian discontinuities. The tubular surfaces with respect to the B-Darboux frame and type-2 Bishop frame in E-3 are given. These tubular surfaces' focal surfaces are then defined. For such types of surfaces, we acquire some results becoming Weingarten, flat, linear Weingarten conditions and we demonstrate that in E-3, a tubular surface has no minimal focal surface. We also provide some examples of these types of surfaces.

引用

页码：13454 / 13468

页数：15

共 34 条

[1] On a variational problem due to the B-Darboux frame in Euclidean 3-space
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[10] FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE
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