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 : 23 | Download : 11

Publication Date : 2021-01-31

Article Type : Research Paper

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