- Journal of Universal Mathematics
- Vol: 4 Issue: 1
- VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE
VARIOUS CHARACTERIZATIONS FOR QUATERNIONIC MANNHEIM CURVES IN THREE-DIMENSIONAL EUCLIDEAN SPACE
Authors : Aykut Has, Beyhan Yilmaz
Pages : 62-72
Doi:10.33773/jum.856869
View : 19 | Download : 4
Publication Date : 2021-01-31
Article Type : Research
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