VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE

Year 2021, Volume: 4 Issue: 1, 62 - 72, 31.01.2021

Aykut Has Beyhan Yılmaz

https://doi.org/10.33773/jum.856869

Cited By: 2

Abstract

In this article, quaternionic curves in 3-dimensional Euclidean space have examined. Firstly, algebraic properties of quaternions and their basic definitions and theorems are given. Later, some characterizations of the quaternionic Mannheim curves in the 3-dimensional Euclidean space have obtained.

Keywords

Real quaternions, Spatial quaternion, Quaternion Algebra, Mannheim partner curves

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