Journal of Applied & Computational Mathematics

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

Abstract

Abdel-Aziz HS, Saad MK and Abdel-Salam AA

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.