On generalized osculating-type curves in Myller configuration

Abstract

In this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space E3. We present the necessary characterizations for a curve to be an osculating-type curve. Characterizations originating from the natural structure of Myller configuration are a generalization of osculating curves according to the Frenet frame. Also, we introduce some new results that are not valid for osculating curves. Then, we give an illustrative numerical example supported by a figure.

Keywords

• myller configuration
• osculating-type curve
• versor field
• primary 58a04