62 citations · 183 across the 46 of their papers we have counts for
4 papers · 2 filters
Split quaternions and time-like constant slope surfaces in Minkowski 3-space
Murat Babaarslan, Yusuf Yayli
In this paper, we prove that time-like constant slope surfaces can be reparametrized by using rotation matrices corresponding to unit time-like split quaternions and homothetic mot…
Spherical Cyclic Motions in Euclidean Space E3
Mehdi Jafari, Yusuf Yayli
By considering a spatial curve in a Euclidean space, we use its components, together with attaining a cyclic matrix, to show that this matrix is homothetic too and is in correspond…
Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
Mehdi Jafari, Yusuf Yayli
The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional space. We review of some algebraic properties of generalized quate…
Split Quaternions and Spacelike Constant Slope Surfaces in Minkowski 3-Space
Murat Babaarslan, Yusuf Yayli
A spacelike surface in the Minkowski 3-space is called a constant slope surface if its position vector makes a constant angle with the normal at each point on the surface. These su…