On Some Quasi-Curves in Galilean Three-Space-Reference-Cited by-同舟云学术

On Some Quasi-Curves in Galilean Three-Space

Published:2023-08-27 Issue:9 Volume:12 Page:823
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Elsharkawy Ayman¹^ORCID,Tashkandy Yusra²^ORCID,Emam Walid²^ORCID,Cesarano Clemente³,Elsharkawy Noha¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt

2. Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

Abstract

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.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/823/pdf

Reference19 articles.

1. Gordon, B. (1979). A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity, Springer.

2. On tubular surfaces with modified orthogonal frame in Galilean space 𝔾3;Mumcu;Therm. Sci.,2022

3. Inelastic flows of curves according to equiform in Galilean space;Yoon;J. Chungcheong Math. Soc.,2011

4. Special Smarandache Curves with Respect to Darboux Frame in Galilean 3-Space;Sahin;Int. J. Adv. Appl. Math. Mech.,2018

5. Parallel Transports with respect to Frenet and Darboux Frames in the Galilean Space;Sahin;J. Sci. Arts,2020

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quasi-position vector curves in Galilean 4-space;Frontiers in Physics;2024-07-24