Some special parallel like curves in Galilean 3-space

In this research, we consider the relations between parallel-like curves and some special curves in a 3-dimensional Galilean space. We prove that, although parallel-like curves are not an involute-evolute curve couple, they become a Bertrand and Mannheim curve couple under certain conditions. We also present this practically and visually.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2505673c
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Some special parallel like curves in Galilean 3-space

Ali Çakmak, İshak Gürgar
Filomat
Geometric Analysis and Curvature Flows
article

Some special parallel like curves in Galilean 3-space

Ali Çakmak, İshak Gürgar
article en

Abstract

In this research, we consider the relations between parallel-like curves and some special curves in a 3-dimensional Galilean space. We prove that, although parallel-like curves are not an involute-evolute curve couple, they become a Bertrand and Mannheim curve couple under certain conditions. We also present this practically and visually.

FilomatVol. 39(5)
Ağrı İbrahim Çeçen University (TR), Bitlis Eren University (TR)
Openalex Percentile: Top 73%
Geometric Analysis and Curvature Flows
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Some special parallel like curves in Galilean 3-space — Ali Çakmak, İshak Gürgar · Filomat (2025) | TGRS Research Map | TGRS