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http://dx.doi.org/10.5831/HMJ.2018.40.2.251

INVOLUTE CURVES OF ORDER k OF A GIVEN CURVE IN GALILEAN 4-SPACE G4  

Kisi, Ilim (Department of Mathematics, Kocaeli University)
Ozturk, Gunay (Department of Mathematics, Ismir Democracy University)
Publication Information
Honam Mathematical Journal / v.40, no.2, 2018 , pp. 251-264 More about this Journal
Abstract
In the present study, we consider the curves in Galilean 4-space ${\mathbb{G}}_4$. We find out the involute curves of order k (k = 1, 2, 3) of a given curve. We get the relationships between the Frenet apparatus of a given curve and its involute curves of order k.
Keywords
Frenet frame; involute curves; Galilean 4-space;
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