On Hybrid Curves

Authors : Mücahit Akbiyik

Pages : 119-130

Doi:10.30931/jetas.1338660

View : 109 | Download : 110

Publication Date : 2023-12-31

Article Type : Research Paper

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