Some Characterizations of Involute-Evolute Curve Couple in the Hyperbolic Space

Abdel-Aziz HS, Saad MK and A


This paper aims to show that Frenet apparatus of an evolute curve can be formed according to apparatus of the involute curve in hyperbolic space. We establish relationships among Frenet frame on involute-evolute curve couple in hyperbolic 2-space, hyperbolic 3-space and de Sitter 3-space. Finally, we illustrate some numerical examples in support our main results. 

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