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

Autor:	Linlin Wu, Anjie Zhou, Kaixin Yao, Donghe Pei
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Lorentz–Minkowski space generalized Bertrand curve framed curve singularity Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 16, p 2593 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12162593
Popis:	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.
Databáze:	Directory of Open Access Journals
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