Involute Curves in 4-dimensional Galilean space G4
MA Isah, MA Kulahci - Conference Proceedings of Science and …, 2019 - dergipark.org.tr
Conference Proceedings of Science and Technology, 2019•dergipark.org.tr
… Abstract: In this paper, we define the (0,2)-involute of a given curve in 4-dimensional
Galilean space, and for the curve with a generalized involute, the necessary and sufficient
condition is obtained. … The notation < x,y >G we use in this paper denotes the inner
product of the vectors x, y in Galilean space. Let α(s)=(s, x2(s), x3(s), x4(s)) be a curve
parameterized by arclength s in G4, the Frenet formulas can written as …
Galilean space, and for the curve with a generalized involute, the necessary and sufficient
condition is obtained. … The notation < x,y >G we use in this paper denotes the inner
product of the vectors x, y in Galilean space. Let α(s)=(s, x2(s), x3(s), x4(s)) be a curve
parameterized by arclength s in G4, the Frenet formulas can written as …
In this paper, we define the (0,2)-involute of a given curve in 4-dimensional Galilean space, and for the curve with a generalized involute, the necessary and sufficient condition is obtained.
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