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