On Hybrid Curves

Year 2023, , 119 - 130, 31.12.2023

Mücahit Akbıyık

https://doi.org/10.30931/jetas.1338660

Abstract

In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,<>) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.

Keywords

Hybrid numbers, Curvatures, Frenet-Serret frame formulae

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