Associated timelike helices in Minkowski 3-space

In this study, some new types of timelike general helices associated to a non-lightlike curve are introduced in Minkowski 3-space. These new helices are called associated timelike helices. Some special types of associated timelike helices are introduced and also by considering the conditions that reference curve is a non-lightlike helix or a spacelike slant helix, the position vectors of these new timelike helices are determinate.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-03-24
DOI
https://doi.org/10.5269/bspm.64350
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
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Associated timelike helices in Minkowski 3-space

Mehmet Önder
Boletim da Sociedade Paranaense de Matemática
Advanced Differential Geometry Research
article

Associated timelike helices in Minkowski 3-space

Mehmet Önder
article en

Abstract

In this study, some new types of timelike general helices associated to a non-lightlike curve are introduced in Minkowski 3-space. These new helices are called associated timelike helices. Some special types of associated timelike helices are introduced and also by considering the conditions that reference curve is a non-lightlike helix or a spacelike slant helix, the position vectors of these new timelike helices are determinate.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Manisa Celal Bayar University (TR)
Openalex Percentile: Top 87%
Advanced Differential Geometry Research
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Associated timelike helices in Minkowski 3-space — Mehmet Önder · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS