Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space

被引：1

作者：

Zhang, Wei ^{[1
,3
]}

Li, Pengcheng ^{[2
]}

Pei, Donghe ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

[3] Yili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

spacelike framed curves; circular evolutes; involutes; parallel curves; normal surfaces; RULED SURFACES;

D O I：

10.3934/math.2024276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we defined the circular evolutes and involutes for a given spacelike framed curve with respect to Bishop directions in Minkowski 3-space. Then, we studied the essential duality relations among parallel curves, normal surfaces, and circular evolutes and involutes. Furthermore, we also studied the duality relations of their singularities. Based on these studies, we found that it is crucially important to consider the duality relations among different geometric objects for the research of submanifolds with singularities.

引用

页码：5688 / 5707

页数：20

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