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
Main Authors: Ayman Elsharkawy, Yusra Tashkandy, Walid Emam, Clemente Cesarano, Noha Elsharkawy
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/9/823
Description
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