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.
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页码：13454 / 13468
页数：15
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