Generalized Bertrand Curves of Non-Light-like Framed Curves in Lorentz-Minkowski 3-Space

被引：1

作者：

Wu, Linlin ^{[1
]}

Zhou, Anjie ^{[1
]}

Yao, Kaixin ^{[1
]}

Pei, Donghe ^{[1
]}

机构：

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

来源：

MATHEMATICS | 2024年 / 12卷 / 16期

基金：

中国国家自然科学基金;

关键词：

Lorentz-Minkowski space; generalized Bertrand curve; framed curve; singularity;

D O I：

10.3390/math12162593

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define the generalized Bertrand curves of non-light-like framed curves in Lorentz-Minkowski 3-space; their study is essential for understanding many classical and modern physics problems. Here, we consider two non-light-like framed curves as generalized Bertrand pairs. Our generalized Bertrand pairs can include Bertrand pairs with either singularities or not, and also include Mannheim pairs with singularities. In addition, we discuss their properties and prove the necessary and sufficient conditions for two non-light-like framed curves to be generalized Bertrand pairs.

引用

页数：12

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