On Some Quasi-Curves in Galilean Three-Space

In this paper, the quasi-frame and quasi-formulas are introduced in Galilean three-space. In addition, the quasi-Bertrand and the quasi-Mannheim curves are studied. It is proven that the angle between the tangents of two quasi-Bertrand or quasi-Mannhiem curves is not constant. Furthermore, the quasi...

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Bibliographic Details
Published in:Axioms 2023-09, Vol.12 (9), p.823
Main Authors: Elsharkawy, Ayman, Tashkandy, Yusra, Emam, Walid, Cesarano, Clemente, Elsharkawy, Noha
Format: Article
Language:English
Subjects:
Curves
Galilean space
Geometry
Investigations
Involutes
Mathematical research
Mathematicians
Number theory
quasi-Bertrand curves
quasi-curvatures
quasi-formulas
quasi-frame
quasi-Mannheim curves
Tangents
Topological spaces
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Summary:In this paper, the quasi-frame and quasi-formulas are introduced in Galilean three-space. In addition, the quasi-Bertrand and the quasi-Mannheim curves are studied. It is proven that the angle between the tangents of two quasi-Bertrand or quasi-Mannhiem curves is not constant. Furthermore, the quasi-involute is studied. Moreover, we prove that there is no quasi-evolute curve in Galilean three-space. Also, we introduce quasi-Smarandache curves in Galilean three-space. Finally, we demonstrate an illustrated example to present our findings.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12090823