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Research Article | Open Access

Non-lightlike framed rectifying curves in Minkowski 3-space

Jiaqi Huang, Kaixin Yao, Donghe Pei( )
School of Mathematics and Statistics, Northeast Normal University, Changchun, China
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Abstract

In this paper, we define non-lightlike framed rectifying curves. They may have singularities. We give equivalent definitions and a construction method for non-lightlike framed rectifying curves. Moreover, we also study the relationship between the non-lightlike framed rectifying curves and the non-lightlike framed helices, as well as the properties of the centrode of non-lightlike framed rectifying curves.

Keywords

non-lightlike framed rectifying curvessingularitiesnon-lightlike framed curveshelicescentrodes

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Electronic Research Archive
Volume 32 Issue 10,
October 2024
Pages 5914-5925
DOI: 10.3934/era.2024273

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Cite this article:
Huang J, Yao K, Pei D. Non-lightlike framed rectifying curves in Minkowski 3-space. Electronic Research Archive, 2024, 32(10): 5914-5925. https://doi.org/10.3934/era.2024273

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Received: 26 June 2024
Revised: 10 October 2024
Accepted: 22 October 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)