Normal Curves in 4-Dimensional Galilean Space G4

Safaa Mosa; Safaa Mosa; Mohamed El-Fakharany; Mervat Elzawy

doi:10.3389/fphy.2021.660241

Frontiers in Physics (Jun 2021)

Normal Curves in 4-Dimensional Galilean Space G4

Safaa Mosa,
Safaa Mosa,
Mohamed El-Fakharany,
Mervat Elzawy

Affiliations

Safaa Mosa: Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi Arabia
Safaa Mosa: Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt
Mohamed El-Fakharany: Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Mervat Elzawy: Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

DOI: https://doi.org/10.3389/fphy.2021.660241
Journal volume & issue: Vol. 9

Abstract

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In this article, first, we give the definition of normal curves in 4-dimensional Galilean space G4. Second, we state the necessary condition for a curve of curvatures τ(s) and σ(s) to be a normal curve in 4-dimensional Galilean space G4. Finally, we give some characterizations of normal curves with constant curvatures in G4.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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