On the Geometry of Equiform Normal Curves in the Galilean Space G4

Authors

M. Fakharany, Mathematics and Statistics Department, College of Science, Taibah University, Yanbu, Saudi Arabia\\ Mathematics Department, Faculty of Science, Tanta University, Tanta, EgyptFollow
A. El-Abed, Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt\\ Mathematics Department, College of Science, Taibah University, Medina, Saudi ArabiaFollow
M. Elzawy, Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt\\ Mathematics Department, College of Science, Taibah University, Medina, Saudi ArabiaFollow
S. Mosa, Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi Arabia\\ Mathematics Department, Faculty of Science, Damanhour University, Damanhour, EgyptFollow

Abstract

In our article, we establish the definition of the Equiform Normal curves in Galilean space G4. To obtain the position vector of an Equiform Normal curve in G4, we have to solve an integro-differential equation in μ2, where μ2 is the position function of a space curve γ (σ ) in the direction of third vector V3 of the Galilean space. Special cases of Equiform Normal curvatures are discussed. Finally, we prove that there is no equiform normal curve that is congruent to an Equiform Normal curve in G4.

Recommended Citation

Fakharany, M.; El-Abed, A.; Elzawy, M.; and Mosa, S. (2022) "On the Geometry of Equiform Normal Curves in the Galilean Space G4," Information Sciences Letters: Vol. 11 : Iss. 5 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss5/27