Non-lightlike framed rectifying curves in Minkowski 3-space

Jiaqi Huang; Kaixin Yao; Donghe Pei; Jiaqi Huang; Kaixin Yao; Donghe Pei

doi:10.3934/era.2024273

Electronic Research Archive

2024, Volume 32, Issue 10: 5914-5925. doi: 10.3934/era.2024273

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Non-lightlike framed rectifying curves in Minkowski 3-space

School of Mathematics and Statistics, Northeast Normal University, Changchun, China

Received: 26 June 2024 Revised: 10 October 2024 Accepted: 22 October 2024 Published: 30 October 2024

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.
- non-lightlike framed rectifying curves,
- singularities,
- non-lightlike framed curves,
- helices,
- centrodes
Citation: Jiaqi Huang, Kaixin Yao, Donghe Pei. Non-lightlike framed rectifying curves in Minkowski 3-space[J]. Electronic Research Archive, 2024, 32(10): 5914-5925. doi: 10.3934/era.2024273

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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.

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